Answer:
$9,347.62
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $6,500r = 3.7% = 0.037n = 1t = 10 yearsSubstituting the given values into the formula and solving for A:
[tex]\implies \sf A=6500\left(1+\frac{0.037}{1}\right)^{10 \times 1}[/tex]
[tex]\implies \sf A=6500\left(1.037\right)^{10}[/tex]
[tex]\implies \sf A=9347.617232[/tex]
Therefore, the value of account after 10 years is $9,347.62
Let's see
[tex]\\ \rm\Rrightarrow A=P(1+r)^t[/tex]
P=6500r=3.7%t=10yearsSo
A:-
[tex]\\ \rm\Rrightarrow 6500(1+0.037)^{10}[/tex]
[tex]\\ \rm\Rrightarrow 6500(1.037)^{10}[/tex]
[tex]\\ \rm\Rrightarrow \$ 9347.6[/tex]
Mason randomly chooses a card from a standard deck or cards What is the probability that it is a face card given that it is a hearts
Last week, Emma painted her fence. She used 6 cans of paint. There were 4 liters of paint in each can.
Answer:
I'm guessing you want how many liters of paint she used?
she used 24 liters of paint to paint her fence.
Step-by-step explanation:
theres 6 cans
4 liters in each can
6×4=24
this is from 7th grade
Answer:
3, 4
Step-by-step explanation:
The expanded form of the given product is found using the distributive property. An equivalent form can be found using the commutative property of multiplication.
__
7(2 -3n) = 7(2) +7(-3n) = 14 -21n . . . . . . . matches 3
Swapping the factors gives ...
7(2 -3n) = (2 -3n)·7 . . . . . . . . . . matches 4
__
About the other choices
1. The value is not the same as 14 -21n. It appears to have been the result of (more or less) adding 7 to the coefficients inside parentheses.
2. It is a common mistake to eliminate parentheses after applying the outside factor to the first term only. That seems to be what happened here. The distributive property says you apply the factor to all the terms inside parentheses.
5. The sum of terms (2 -3n) has been incorrectly replaced by the product of terms (2)(-3n).
The midpoint of AB is (3,2). If point is is located at(8,4) what are the coordinates of point B
Step-by-step explanation:
8-3 = 5,
3-5 = -2 = the x coordinate of B
-2-4 =-6,
-2-6 =-8 = the y coordinate of B
(-2,-8) is the point B
A is 5 to the right of the midpoint, so B is 5 to the left of the midpoint
A is 6 up from the midpoint so B is 6 down from the midpoint
Using the digits 0-9, no more than once, complete the puzzle so that the sum of each side is equivalent.
Answer:
[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]
Step-by-step explanation:
[tex]\begin{matrix}a&e&b\\ f&&g\\ c&h&d\end{matrix}[/tex]
From the table,we can extract these equations:
a + e + b = a + c + f = b + g + d = c + h + d
a + e + b = a + c + f ⇒ e + b = c + f
b + g + d = c + h + d ⇒ b + g = c + h
[tex]\begin{Bmatrix}e+b=c+f\\ b+g=c+h\end{Bmatrix} \Longrightarrow g-e=h-f\Longrightarrow g+f=h+e[/tex]
2 + 3 = 4 + 1 then let’s consider :
e = 2 ; h = 3 ; f = 4 ; g = 1 ,which satisfies g + f = h + e
The table becomes:
[tex]\begin{matrix}a&2&b\\ 4&&1\\ c&3&d\end{matrix}[/tex]
From the equation b + e = c + f we get b + 2 = c + 4 then b = c + 2
If we consider c = 5 ⇒ b = c + 2 = 5 + 2 = 7
Then the table becomes
[tex]\begin{matrix}a&2&7\\ 4&&1\\ 5&3&d\end{matrix}[/tex]
Then a + 9 = d + 8 ⇒ d = a + 1
If we consider a = 8 ⇒ d = 9
[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]
I know it’s not perfect reasoning ,but it may help.
What type of sampling is described in this study?
A company that sells hair-care products wants to
determine if a product that combines shampoo and
conditioner works better than a shampoo and
conditioner used separately. A researcher recruits 60
volunteers and pairs them according to age, hair color,
and hair type. For each pair, the researcher flips a coin
to determine which volunteers will use the
shampoo/conditioner combination and which ones will
use the separate shampoo and conditioner. After using
the products for one month, the subjects are asked to
rate their satisfaction with the hair products on a scale
of 1-10 (1 = highly dissatisfied and 10 = highly
satisfied). What type of sampling is described in this study?
one sample
paired data
two samples
more than two samples
The sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.
What is a paired data test?A paired data test or sampling is used when the researcher is interested in the difference between two variables for the same subject.
For instance, in this experiment, the researcher wants to find the satisfaction level of the volunteers who used the shampoo and conditioner separately or combined.
Thus, the sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.
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Find the volume of the rectangular prism. WA 3yd 3 yd 4 yd
Please help ASAP
Will mark as brainliest answer
Answer:
i hope this will help you
Answer:
a = 1b = √15Step-by-step explanation:
An equation is solved for one of the variables by undoing the operations done on that variable. Here, we can solve for 'a' and solve for 'b' to find the desired values.
__
value of aSolve for 'a', then substitute the value of 'b'.
[tex]\sqrt{9a}=\dfrac{b^2-3}{2}\\\\9a=\left(\dfrac{b^2-3}{2}\right)^2=\dfrac{(b^2-3)^2}{4}\\\\a=\dfrac{(b^2-3)^2}{36}=\dfrac{((-3)^2-3)^2}{36}=\dfrac{6^2}{36}\\\\\boxed{a=1}[/tex]
__
value of bSolve for 'b', then substitute the value of 'a'.
[tex]\sqrt{9a}=\dfrac{b^2-3}{2}\\\\2\cdot3\sqrt{a}=b^2-3\\\\6\sqrt{a}+3=b^2\\\\b=\sqrt{6\sqrt{a}+3}=\sqrt{6\sqrt{4}+3}=\sqrt{12+3}\\\\\boxed{b=\sqrt{15}}[/tex]
A 6-ounce jar of modeling clay costs $4.20. What is the unit price?
Answer:
$0.70 per ounce
Step-by-step explanation:
Concepts + Application
The unit price of an object, in this case, is the total amount of money spent divided by how many ounces there are. We're given the total amount of money as $4.20 and the number of ounces as 6. Thus, we just divide 4.20 by 6.
Solution
4.20 ÷ 60.70$0.70 per ouncewhat would be 3/4 of 960.
Answer:
720
Step-by-step explanation:
Three-fourths of 960 are simply three fourths times 960, which can be written as follows:
Three/fourths x 960
Furthermore, you can convert "three" to "3" and "fourths" to "4" and then the equation and answer are:
3/4 x 960 = 720
At Super Shopper a 1-litre bottle of cola costs £0.85.
At Rex Retail a 1.5-litre bottle costs £1.30.
At which shop is cola better value for money?
Answer:
super shopper
Step-by-step explanation:
o.85/2=0.425
0.425*3=1.275
Which graph represents the solution of (y+2)²/4 + (x-3)²/9 <1 and y ≤√x-1-4?
Answer:
y²+x-7=-x+37
Step-by-step explanation:
im a pickle morty its the funniest thing ive ever experienced
Answer:
A
Step-by-step explanation:
Find the probability.
A cooler contains fifteen bottles of sports
drink: five lemon-lime flavored, five
orange flavored, and five fruit-punch
flavored. You randomly grab a bottle for
your coach, a bottle for your friend, and a
bottle for yourself. Your coach and your
friend get orange. You get a fruit-punch
Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 15 bottles.
5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.The probability of the three outcomes occurring is given by:
[tex]p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366[/tex]
0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.
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Please help me with my math please .?
Answer:
Step-by-step explanation:
A student collecting money for a charity is donating $12 of his own money. He asks friends to give $5 each. Write a rule in function notation to find how much he will donate in all. Let p represent then number of friends who give money.
a. f(p) = 12p + 5
b. f(p) = 12 + 5p
c. f(p) = 12 + 5 + p
d. (p) = 17p
Work out length of BC
Answer:
assume [tex]13 = z \\ 8 =x \\ bc = y[/tex]
by phytagorean theorem
[tex]{y}^{2} + {x}^{2} = z^{2} [/tex]
so
[tex]bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} [/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]
★ 1st let's know what is the given figure is and it's related concepts for solving !
➣ Given Triangle is a right angled triangle ➣ It is having 3sides let's know what are the name of these sides ➣ 1st AB is know as hypotenuse➣ 2nd AC and is called Base of the triangle➣ 3rd BC whích is know as perpendicular of the triangle➣ Hypotenuse(H):-The side of a right triangle opposite the right angle.➣ Perpendicular(P):- Exactly upright; extending in a straight line. ➣ Base(B):- it also known as the side opposite to hypotenuse➣Perpendicular and base are know as the leg of right angled triangle➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides★ Note :- The Pythagorean theorem only applies to right triangles.[tex] \rule{70mm}{2.9pt}[/tex]
★ Writing this theorem mathematically ★
[tex] { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}[/tex]
★ Here ★
➣ Base (AC)= 8cm➣ Hypotenuse (BA)= 13cm[tex] \rule{70mm}{2.9pt}[/tex]
✝ Assumption ✝➣ let perpendicular/length ( BC ) = "x"[tex] \boxed{ \rm{ \pink ➛BA^2= AC^2+BC^2}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
✝ let's substitute values ✝[tex]\rm{ \pink ➛13^2= 8^2+x^2} \\ \rm{ \pink ➛169 = 64 + {x}^{2} } \\ \rm{ \pink ➛169 - 64 = {x}^{2} } \\ \rm{ \pink ➛105 = {x}^{2}} \\ \rm{ \pink ➛ \sqrt{105} \: or \: 10.2469 = x} \\ [/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hence length (BC) in the given triangle is of
[tex] { \boxed{✛\underline{ \boxed{ \sf{\sqrt{105} cm\: or \: 10.2469cm\green✓}}}✛}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
A survey of birds in Forests A and B counted the number of robins and sparrows. Use the resulting frequency table to find each percentage.
Robins Sparrows Totals
Forest A 9 16 25
Forest B 36 64 100
Totals 45 80 125
percent of birds in Forest B that are robins =
%
percent of sparrows that are in Forest A =
%
percent of birds that are in Forest A =
%
Answer:
36%20%20%Step-by-step explanation:
Percentage of birds in Forest B that are robins :
No. of robins in Forest B / birds in Forest B36 / 1000.3636%Percentage of sparrows that are in Forest A :
Sparrows in Forest A / total sparrows16 / 800.220%Percentage of birds in Forest A :
Birds in Forest A / Total birds25 / 1250.220%Answer:
36%
20%
20%
Step-by-step explanation:
Percentage of birds in Forest B that are robins :
No. of robins in Forest B / birds in Forest B
36 / 100
0.36
36%
Percentage of sparrows that are in Forest A :
Sparrows in Forest A / total sparrows
16 / 80
0.2
20%
Percentage of birds in Forest A :
Birds in Forest A / Total birds
25 / 125
0.2
20%
Help please I don’t understand.
Ms. palmer has 1 1/2gallons of orange juice.
how many servings of juice can she make, in cups?
8 There are a combined 33 students who play a spring sport of track or
baseball. There are 3 more students on the track team than the baseball
team. How many students are on the track team? How many are on the
baseball team?
30
The number of students that are on the track team are 18.
The number of students that are on the baseball team are 15.
What are the linear equations that represent the question?a + b = 33 equation 1
a - b = 3 equation 2
Where:
a = number of students that are on the track teamb = number of students that are on the baseball teamHow many students that are on the baseball team?
Subtract equation 2 from equation 1
2b = 30
Divide both sides by 2
b = 30/2 = 15
How many students that are on the track team?
Subtract 15 from 33: 33 - 15 = 18
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(8x) ³ in simplest radical form
Answer:
[tex]512x^3[/tex]
Step-by-step explanation:
[tex](8x)^3 = 8^3x^3 = 512x^3[/tex]
Please help me find the answer to this problem.
Answer:
numerator - is 2, 15, 18, 6
denominator - is 12, 14, 33, 8, 64
Step-by-step explanation:
2/10, 4/12, 8/14, 9/33, 1/8, 12/64, 15/55, 18/66, 6/32
. How can you know if 2 shapes are congruent? Draw an example of 2 congruent triangles and label how you know.
Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.
We can say that two triangles are congruent using these 5 rules:
1: SSS or the side, side, side rule, that means that we have two triangles with all three sides equal.
2. SAS or side, angle, side states that in the two triangles, two sides and the included angle are equal.
3. ASA or angle, side, angle states that in two triangles, the two angles and the included side are equal.
4. AAS or angle, angle, side states that we have two triangles where two angles and the non-included side are equal.
5. HL or the Hypotenuse Leg rule states that, if the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, then the two triangles are congruent.
Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.
Example:-From the diagram, given that:
AB = DE, BC = EF and ∠B = ∠E
Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate
Find out more on congruent triangles at:
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Select the correct answer. what are the solutions of this quadratic equation? 6x2 6 = 12x 18 a. b. c. d.
Answer:
A
Step-by-step explanation:
I don't think you asked this question right but I believe A is the answer to your question "What are the solutions of this quadratic equation? 6x2 + 6 = 12x + 18" (fixed)
if these are the options, then I think its A
Tiana has $70 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much will she have in 1 year?
Answer:
73 dollars and 50 cents
Step-by-step explanation:
Initial Deposit:
70
Years to Save:
1
Estimated Rate of Return
5
Compound Frequency:
Annually
Earned Interest
$3.50
Total Balance
$73.50
Hope this helps!
Answer:
73.50
Step-by-step explanation:
math
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Tyler concludes that 5x² will always have a larger output for the same value of x.
Look at the graph below and the table given
Take a random value: x = 0
When 5x², y = 0When 2^x, y = 1Here, 1 > 0, making 2^x > 5x²
Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.
Disagree with Tyler's point.
No it won't be
Take x =9
2^x=2^9=512But
5(9)²=5(81)=405Clearly 2^x surpasses 5x²
So Tyler is wrong
Evaluate the expression.
7^0
Answer:
Heyyy!!!!
The answer is 1.
Please read explanation it will definitely help you....
Step-by-step explanation:
Okay... Here it goes...
Basically, there is an exponent rule that says that anything to the power of 0 is 1.
I hope this helps!
Answer:
7^0 = 1
Step-by-step explanation:
Anything that has an exponent of 0 is 1.
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x² - 2x + 3; ƒ(x) = −2x + 28
Answer: x = 5, -5
Step-by-step explanation:
mark brainist
Answer:
(5, 18) and (-5, 38)
Step-by-step explanation:
Equating the values of the function f(x) :
x² - 2x + 3 = -2x + 28x² + 3 = 28 [Cancelling out -2x on each side]x² + 3 - 3 = 28 - 3 [Subtracting 3 on each side]√x² = √25 [Taking square root on each side]x = ±5Taking x = +5 :
f(5) = -2(5) + 28f(5) = -10 + 28f(5) = 18Ordered pair = (5, 18)Taking x = -5 :
f(-5) = -2(-5) + 28f(-5) = 10 + 28f(-5) = 38Ordered pair = (-5, 38)The solutions are : (5, 18) and (-5, 38)
A sequence starts with: 25 20 15 10... what is the term-to-term rule of the sequence?
Ill give brainless to whoever can help me with this problem