Answer:
Step-by-step explanation:
I clicked see solution
T=5 years
It will take 5 years for a person to have 10100 dollars.
What is Compound Interest ?Compound interest is calculated on the principal as well as the interest accumulated over the preceding period. It differs from simple interest in that interest is not added to the principal when calculating interest for the following month.
Given:
A person invest 7500 dollars in a bank.
The bank pays 6 interest compounded semi-annually.
The compound interest formula is equal to
A = P([tex]1+ r/n)^{n/t[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
So, substituting the values we get
10,100 = 7500 (1 + 0.06/2[tex])^{2t[/tex]
1.3466 = (1.03[tex])^{2t[/tex]
Taking log on both side we get
log (1.3466) = 2t log (1.03)
2t = log ( 1.3466- 1.03)
2t =0.12923 / 0.01283
t = 10.072 / 2
t = 5. 036 year
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Chelsea invests $7,373 in a savings account with a fixed annual
interest rate of 2.73% compounded 6 times per year. How long
will it take for the account balance to reach $8,921.74?
Answer:
Calculate one-time simple interest, and simple interest over time
Determine APY given an interest scenario
Calculate compound interest
If you are given T(5, 0), R(0, 5), A(4, 7), and P(7, 4), and asked to show that TRAP is a trapezoid, you would need to find _________.
Group of answer choices
the slopes of TR, RA, AP and TP to show that both pairs of opposite sides are parallel.
the slopes of TA and RP to show that the diagonals are perpendicular.
the lengths of TA and RP using the distance formula to show that the diagonals are congruent.
the slopes of TR, RA, AP and TP to show that one pair of opposite sides is parallel.
Answer:
the lengths of TA and RP using the distance formula to show that the diagonals are congruent.the slopes of TR, RA, AP and TP to show that one pair of opposite sides is parallel.Step-by-step explanation:
A trapezoid is a four-sided polygon or a quadrilateral. It has one set of opposite sides which are parallel and a set of non-parallel sides.
(Therefore, statement 1 is incorrect and statement 4 is correct)
If the non-parallel sides of the trapezoid are equal in length, then it is called an isosceles trapezoid. An isosceles trapezoid has a line of symmetry and both the diagonals are equal in length.
(Therefore, statement 3 is correct).
Statement 2 is incorrect as the diagonals are NOT perpendicular
Answer:
C is the corect answer give brainliest boy or girl above his/her/they explanation was good
Find the product of 2x4(2x2 3x 4). 2x8 3x4 4x4 4x6 6x5 8x4 4x4 3x5 2x6 3x6 4x5 5x4.
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex]2x^4(2x^2 + 3x + 4)[/tex] is [tex]4x^6 + 6x^5 + 8x^4[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The given expression is simplified as:
[tex]2x^4(2x^2 + 3x + 4) = 2x^4 \times 2x^2 + 2x^4 \times 3x + 2x^4 \times 4\\2x^4(2x^2 + 3x + 4) = 4x^6 + 6x^5 + 8x^4[/tex]
Thus,
The product of [tex]2x^4(2x^2 + 3x + 4)[/tex] is [tex]4x^6 + 6x^5 + 8x^4[/tex]
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Answer:
4x^6 + 6x^4 + 8x^4
Step-by-step explanation:
its the only option with a 6 in the 2nd term.
HELP ME PLEASE I REALLY NEED THE ANSWER! THIS IS REALLY HARD! (THE ANSWER IS NOT A I HAVE TRIED IT AND IT WAS WRONG AND ITS AN ANSWER ONCE QUESTION SO I HAVE TO COMMENT IT)
Answer:
The answer is E
Step-by-step explanation:
hope it helps
Answer:
Option E
(-1, 0, 1, 2, 3, 4, 5, 6)
Step-by-step explanation:
Given;-2 < n ≤ 6So,
n is less than (-2) but greater than or equal to 6
Now, the possible value of n
-1, 0, 1, 2, 3, 4, 5, 6
Thus, (-1, 0, 1, 2, 3, 4, 5, 6) are the possible values of n
-TheUnknownScientist 72
*
List the common multiples
of 2 and 4 up to 20.
Answer:
2=(2,4,6,8,10,12,14,16,18)
4=(4,8,12,16)
What is the area of this polygon? A = 400 cm² A = 338 cm² A = 316 cm² A = 238 cm².
Area of a polygon can be derived from sum of area of its sub-parts. The area of the considered polygon is given by: Option C: 316 cm²
Some polygon are of standard shapes like rectangle, triangle, parallelogram etc, but some are not standard and can be of any shape. For finding their area, we divide that non-standard polygon in parts such that it gets divided in standard polygons.
Then, we get:
Area of non-standard polygon = sum of all standard polygons forming that initial polygon.
For the given case, dividing the polygon in the shapes whose area we know(which is called here as standard polygons), as shown in the figure attached below, we get:
Area of polygon = Sum of area of those composing parts.
Area of polygon = Area of upper triangle ABC + Area of bottom rectangle BDEF
Height of ABC triangle = height of polygon - height of rectangle
Height of ABC = 18 - 14 = 4 cm
Base of ABC = length of BC = length of BD - length of CD = 21-10 = 11 cm
Thus, area of ABC = [tex]\dfrac{1}{2} \times base \times height = \dfrac{1}{2} \times 4 \times 11 = 22 \: \rm cm^2[/tex]
Area of rectangle BDEF = length times width = [tex]14 \times 21 = 294\: \rm cm^2[/tex]
Thus, area of polygon = Area of ABC + Area of BDEF = 22 + 294 cm²
Area of polygon = 316 cm² (option C)
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Answer: 338 cm^2
Hope this helps! :)
Please mark me brainliest.
PLEASE HELP ME! CLICK ON THE PICTURE FOR A BETTER VIEW IF U NEED TO!
Answer:
In order: -5, 3, 5
Step-by-step explanation:
-5g + 15h - 25
-5 ( g - 3h + 5 )
Hopefully this helps!
Brainliest please?
i don't know this help pls ..
Answer:
A or the total number of spikes Bella has
Answer: The number of Beetiebots to decorate
Step-by-step explanation:
M
The person is 6 feet tall and casts a shadow of 3.2 feet. The building casts a
shadow of 18.5. How tall is the building? Round to the nearest
hundredth.
Answer:
34.69 feet
Step-by-step explanation:
First, you would set up a proportion using the person's measurements and the measurements you do have from the building. You would put your actual value on top of one of the proportions, 6, then put its shadow value, 3.2, on the bottom. Then, you would add 18.5 to the bottom of your other fraction.
Next, you would cross multiply and divide. If you don't know what that means, you will multiply 18.5 by 6, and get 111. Then, divide this number by 3.2. This should make you get 34.6875, so then you round to the nearest hundredths place to get 34.69.
give me the answer pease help
Answer:
D. [tex]9(y+3) and 27+9y[/tex]
Step-by-step explanation:
The first expression for each set is using the distributing propety. We can start with the first one. We notice right away that 3 sets of 3y is 9y, when the other expression is 6. So, that is incorrect. Next we see the second one does have a correct y-value, but the integer value of 6 is not the same, since 3*3=9, not 6. For C we can tell that 9*3=27, which is not equal to 12. Therefore, D must be the answer.
I need help with this
24,501.42 cubic meters
Step-by-step explanation:
The equation for volume of a cylinder is:
A=πr²h
A= area
r= radius
h=height
let's plug in the numbers
A=π×17²×27
(the radius is half of the diameter; 34÷2=17)
Let's use 3.14 as pi
A=3.14×289×27
A= 24501.02 cubic meters
Solve the equation. (If all real numbers are solutions, enter REALS. If there is no solution, enter NO SOLUTION.)
7x + 1
_____=1/2
16
Answer: 1
Step-by-step explanation:
16 * 1/2 = 8
7x + 1 = 8
7x = 7
x = 1
Answer:
x = 1
Step-by-step explanation:
[tex]\frac { 7 x + 1 } { 16 } = \frac { 1 } { 2 }\\7x+1=\frac{16}{2} \\7x+1=8 \\7x=8-1 \\7x = 7\\x = \frac{7}{7} \\\bigstar \; \boxed{x = 1}[/tex]
Hope it helps ⚜
If f (x) = x2 - 3x, what is the value of f (-2)? work it out.
Given Function is
[tex] \: [/tex]
[tex] \frak{f(x) = {x}^{2} - 3x}[/tex][tex] \: \: [/tex]
Now , Put The Value Of x = - 2
[tex] \: \: [/tex]
[tex] \frak{f(x) = {x}^{2} - 3x }[/tex]
[tex] \: \: [/tex]
[tex] \frak{f( \red{ - 2}) = { (\red{ - 2})^{2}} - 3 ( \red{- 2})}[/tex]
[tex] \: \: [/tex]
[tex] \frak{f{ (\red{ - 2})} = \red{ - 4} + 6}[/tex]
[tex] \: \: [/tex]
[tex] \boxed{\frak { \large \: f( \red{ - 2}) = \red 2}}[/tex]
[tex] \: \: [/tex]
[tex] \: \: [/tex]
[tex] \: \: [/tex]
[tex] \: \: [/tex]
[tex] \: \: [/tex]
[tex] \: \: [/tex]
[tex] \: \: [/tex]
Hope Helps! :)
Given the data from the question, the value of the function f(–2) is obtained as 10
Data obtained from the question f(x) = x² – 3xValue of f(–2) =…? How to determine the value of f(–2)f(x) = x² – 3xx = –2Substituting the the value of x into the expression, we have
f(x) = x² – 3x
f(–2) = (–2)² – 3(–2)
f(–2) = 4 + 6
f(–2) = 10
From the calculation made above, we can conclude that the value of f(–2) is 10
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t screen
ze store
how
for?
4. Matthew has 18 sets of baseball cards. Each
set has 12 cards. About how many baseball
cards does Matthew have?
Answer:
The answer is 216 i did the math the other person is correct please give them brainliest <3
Step-by-step explanation:
Mrs. Koch is Improning in her Gols
Game. She makes about 60% of her putts.
If She has 10 putts,
What is the probability She misses
of them?
If you earned 2,580 for one month how much would you have left after you spent $1,200 on rent, $175 on utilities, and $200 on food?
Answer:
1005
Step-by-step explanation:
If you just kept subtracting from 2580 then the next and then the next number you would get 1005
what is the difference between 2 3\4 an 4 1\4
Answer:
The numerator of the first fraction 8 is greater than the numerator of the second fraction 3 , which means that the first fraction 812 is greater than the second fraction 312 and that 23 is greater than 14 .
Step-by-step explanation:
Answer:
-3/2
Step-by-step explanation:
[tex]2 \frac{3}{4} - 4 \frac{1}{4} \\ = > \frac{11}{4} - \frac{17}{4} \\ = > \frac{ - 6}{4} \\ = > \frac{ - 3}{2} [/tex]
A warehouse contains 55 boxes. Then a truck delivers a number of boxes at 12:00 p.m. and the team begins to unload them immediately. By 3:30 p.m. the warehouse contains 90 boxes. Suppose the boxes are unloaded at a constants rate. How many boxes are in the warehouse when the truck is finally empty at 8:30 p.m.
Answer:
90 boxes.
Step-by-step explanation:
Simplify the equation. You get 1 box per 6 minutes.
Tell whether the angles are vertical or adjacent. Then find the measure of x.
Answer:
adjacent. x=55
Step-by-step explanation:
Answer:
Adjacent
x=55
Step-by-step explanation:
Vertical angles are made by the same lines but are opposite of each other. These angles are not opposite, and thus they are not vertical. Adjacent angles, on the other hand, share a common side and vertex. In other words, they touch. So, since these share both a common side and vertex, they are adjacent.
Additionally, the large-angle (that contains the smaller, adjacent angles) is a right angle, meaning that it has a measure of 90 degrees. So, if we know that part of the angle is 35 degrees, then the missing angle must be equal to 90-35. 90-35=55 degrees.
Select all the expressions that are equivalent to (screenshot below)
Step-by-step explanation:
Use the Distributive Property:
[tex]-2(5x-1)+7(5x-1)-3(5x+1)[/tex]
[tex]-10x+2+35x-7+15x-3[/tex]
P is correct.
Simplify:
[tex]40x-8[/tex]
T is correct using FOIL or distribution.
Use the FOIL method to simplify:
Use 5x-1 then multiply with -2, 7, and -3.
Note: With -3, -5x + 1 is in the parenthesis, we need to change -3 to 3.
Changing -3 to 3 will equal the distribution of -3(-5x+1).
Our expression: [tex](5x-1)(-2+7+3)[/tex]
S is correct.
32 divided by 11 is it two or 10 Please help me
Answer:
2 with a remainder of 10
Step-by-step explanation:
11 goes into 32 2 times which is 22. Then there is 10 leftover as a remainder.
Please help with this
Answer:
17
Step-by-step explanation:
For the second term in the sequence, use n=2. The formula tells you ...
[tex]b(2)=b(2-1)+1\\\\b(2)=b(1)+1\\\\b(2)=16+1\\\\\boxed{b(2)=17}[/tex]
The second term of the sequence is 17.
_____
Additional comment
The recursive relation is telling you that each term of the sequence is 1 more than the term before, and the first term is 16. This means the first several terms of the sequence are ...
16, 17, 18, 19, ...
The second term is 17.
1 9 5 ÷(− 3 2 )×(−2 7 1 )
Answer:
1651.40625
Step-by-step explanation:
Multiplying or dividing an even number of negative terms equals a positive.
195÷32×271
Using the rule of BODMAS,
(D) Division first.
195÷32 = 6.09375
(M) Multiplication next.
6.09375×271 = 1651.40625
Alternate form ↓
52845
32
OR
1651¹³/32
Describe the error then simplify the expression correctly.
-5(3+6)=-15+30
=15
Answer: 30 should be negative
Step-by-step explanation:
when having an equation like that, you must multiply -5 by 3, which equals to -15, then multiply-5 by 6 which then equals to -30. The correct equation should be -5(3+6)= -15+-30= -45
I think this should be correct, hope this helps!
Answer:
a) The negative was not distributed to the 6
b) -45
Step-by-step explanation:
This simplification uses the distributive property. This is when a factor outside of parentheses is multiplied by the factors within the parentheses. When using this property, if the factor outside the parentheses is negative, then that negative must be distributed to both factors within the parentheses.
The correct way to simplify the expression is as follows:-5(3+6)
Multiply -5*3 and -5*6-15 + -30
Rewrite this using subtraction-15-30
Subtract-45
Help please! Find the perimeter of the rectangle.
Answer:
34
Step-by-step explanation:
We know the area is 52 cm and that one length is 13cm. This means that in order to find the missing length, we need to divide 52 by 13. this gives us 4, meaning that the missing side is 4 cm.
Now we add 26 (Double of 13 because it is both sides) to 8 (Double of 4 because they are same lengthening sides)
We then get 34.
Hope this helps :)
Find the total cost of a $25 haircut with a 20% tip round to the nearest cent when necessary
Answer:
$30
Step-by-step explanation:
cost of tip is represented by 25 multiplied by 0.2:
25*0.2=5
add onto original price:
25+5=30
good luck :)
Answer:
$30 dollars
Step-by-step explanation:
Given the following question:
Total price = $25.00
20% tip
In order to find the answer, we find 20% of the 25-dollar haircut. Then we add that number to the original price of the haircut.
[tex]\frac{25\times20}{100} =25\times20=500\div100=5[/tex]
[tex]25+5=30[/tex]
[tex]t=30.00[/tex]
Total cost of the haircut was "$30.00 dollars."
Hope this helps.
An account earns simple interest.
$600 at 5% for 2 years
a. Find the interest earned.
$=?
b. Find the balance of the account.
$?
Answer:
a= $60
b= $660
Step-by-step explanation:
0.05 x 600 = 30
30x2 =60
What is the radius of the sector?
Answer:
5 units
Step-by-step explanation:
The area of a sector is [tex]A=\frac{r^2\theta}{2}[/tex] where [tex]r[/tex] is the radius and [tex]\theta[/tex] is the angle formed:
[tex]A=\frac{r^2\theta}{2}\\\\\frac{75\pi}{16} =\frac{r^2(\frac{3\pi}{8})}{2}\\\\150\pi=16r^2(\frac{3\pi}{8})\\\\150\pi=6\pi r^2\\\\25=r^2\\\\5=r[/tex]
Therefore, the radius of the sector is 5 units
The triangles are similar.
What is the value of x?
Answer:
x = 4
Step-by-step explanation:
Let's look at the ratio of the hypotenuse of both triangles:
25 : 5 = 25/5 = 5
we can see that the measures of the sides of the larger triangle are 5 times those of the smaller triangle.
Therefore, 3x + 8 = 4 x 5
⇒ 3x + 8 = 20
⇒ 3x = 20 - 8 = 12
⇒ x = 12 ÷ 3 = 4
⇒ x = 4
Answer:
x=4
Step-by-step explanation:
As you can see, these triangles are demonstrating a scale factor. It is upscaling by 5. To find out what x is equal to, we need to upscale the smaller side. In this scenario, we have to multiply 4 by 5. This will get you 20. Now we can make an equation.
20=3x+8
We can subtract 8 from both sides.
Now we have:
12=3x
now dividing 12 by 3, we get
x=4
A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point. A triangle shows the course of a boat. Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock. The angle between 25 miles and 28 miles is x degrees. Law of cosines: By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree. 30 degrees 39 degrees 46 degrees 50 degrees.
Law of cosine is applicable to all the triangles. The value of the angle by which the boat turns is 39.195°.
What is the law of cosine?Law of cosine helps us to find the third side of the triangle when 2 sides and an angle are known. It is formulated as,
[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]
a, b, c is the sides of the triangle and,
[tex]\gamma[/tex] = angle opposite c
A.)
Given to us
A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping.
When it stopped, the boat was 18 miles from its starting point.
According to the given statements, sides and angles can be written,
a = 25 miles
b = 28 miles
c = 18 miles
[tex]\theta = x^o[/tex]
Substitute the values,
[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]
[tex]18=\sqrt{25^{2}+28^{2}-2(25)(28) \cdot \cos \theta}\\\\\theta = 39.195^o[/tex]
Hence, the value of the angle by which the boat turns is 39.195°.
B.)
Given to us
Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock.
The angle between 25 miles and 28 miles is x degrees.
According to the given statements, sides and angles can be written,
a = 25 miles
b = 28 miles
c = 18 miles
[tex]\theta = x^o[/tex]
Substitute the values,
[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]
[tex]18=\sqrt{25^{2}+28^{2}-2(25)(28) \cdot \cos \theta}\\\\\theta = 39.195^o[/tex]
Hence, the value of the angle by which the boat turns is 39.195°.
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Answer:
Its 39 degrees on Edge
Step-by-step explanation:
Your welcome