14 year it would take to earn $1000 simple interest on an investment of $800 at 9% annual interest.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let the number of years be represented as T
Now , the equation will be
The simple interest I = $ 1000
The rate of interest R = 9 %
The principal amount P = $ 800
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
1000 = ( 800 x 9 x T ) / 100
On simplifying the equation , we get
72T = 1000
Divide by 72 on both sides of the equation , we get
T = 13.89 years
Therefore , the number of years is approximated to 14 years
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How many solutions does this system of equations have?
Exactly one
None
Infinitely many
Exactly two
Answer:
Infinitely many
Step-by-step explanation:
Which equation best represents the line?
Answer:
the fourth one.. y = 3/4x + 4
Olivia reads 72 pages in 40 minutes. How many pages can she read per minute?
Answer:
1.8 pages a minute
Step-by-step explanation:
The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = StartRoot d squared h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3. 5 feet from the base of a wall?.
The height on the wall a 15-foot ladder will reach if it is placed 3. 5 feet from the base of a wall is 14.6 feet.
Using Pythagoras theorem,
c² = a² + b²
where
c = hypotenuse
a and b are the other two legs
The ladder length represent the hypotenuse sides
The distance of the ladder to the base of the wall is one of the leg.
The height on the wall the 15 ft ladder reach is the other leg
Therefore,
a² = 15² - 3.5²
a² = 225 - 12.25
a = √212.75
a = 14.5859521458
a ≈ 14.6 feet
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Answer:
C
Step-by-step explanation:
just took the test trust cuties
evaluate the expression for the given value of x.
4x+9 for x =9
45
since x=9 plug in 9 into the equation to get
4(9)+9
multiply 4(9) to get
36
Then add 9
which then equals 45
Answer:
answer is 45
Step-by-step explanation:
4×9=36
36+9=45
Please guys I have 10 maybe 20 minutes to get this finished
Answer:
so there are 100 pennies in one dollar so
100*1000000=100000000
or 100 million
Hope This Helps!!!
Please help me solve this. warning: an equation may have no solution, one solution or more than one solution.
5x-13=2x-9-4+3x
I got the answer and steps for this math problem,
Answer:
[tex]5 \times - 13 = 2 \times - 9 - 4 + 3 \times \\[/tex]
= 1 5/9 or 1 .5555556.
Step-by-step explanation:
Please comment if I'm
wrong...
How many terms are in the expression 3xy+2x+1
Answer:
4
Step-by-step explanation:
In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature consisting of a single binary operation, the term algebra over a set X of variables is exactly the free magma generated by X
A sphere has an area equal to 4800 cm2. Considering π = 3, what is the measure of its radius? * 15 cm 10 cm 144 cm 12 cm 20 cm
Answer:
20 cm
Step-by-step explanation:
Use the formula
A=4πr^2
Solving for radius
[tex]r = 1/2 \sqrt{A/\pi } = 1/2 \sqrt{4800/\pi }[/tex] ≈ 19.5441
We are given –
[tex] \sf \begin{cases} \sf A_{\circ} = 4\: 800\: cm^2 \\ \sf \pi = 3 \\ \sf r = \:?\: cm\end{cases}[/tex]
A sphere is a three-dimensional object that results from the rotation of a circle around its diameter.The spherical surface area is given by–[tex] \pink{\bf\boxed{ \bf{A = 4 \pi \cdot r^2}}}[/tex]Just use the formulas for the sphere's area to determine the radius.
[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf A_{\bigcirc} = 4 \pi \cdot r^2} [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 4 \cdot 3 \cdot r^2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 12 \cdot r^2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = \dfrac{4\:800}{12} [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = 400 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \sqrt{400} [/tex]
[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf r = 20\: cm} [/tex]
Henceforth, the radius of the sphere measures [tex] \bf = 20\: cm [/tex].
The extended warranty on a $885 washer is 15% of the purchase price and lasts for five years. What is the effective cost per year of the extended warranty?
(use a dollar sign and 2 decimal places)
Answer:
8.85
Step-by-step explanation:
write an equation
(X-P) (x-q)=0
Answer:
[tex]x^{2} -pqx+pq[/tex]
Step-by-step explanation:
Given each function and domain, find the range values. y=3/5x+2; domain: {-10,0,5}
Given the function
[tex]y=\dfrac{3}{5}x+2[/tex]
and its domain [tex]\{-10,0,5\}[/tex], its range is [tex]\{-4,2,5\}[/tex]
The domain of a function is the set of all possible values that we can input to the function.
The range of a function is the set of all possible values that a function can output.
For the function
[tex]y=\dfrac{3}{5}x+2[/tex]
if the domain is the set [tex]\{-10,0,5\}[/tex], we can get the range by substituting each value in the domain into the function. The resulting set of values gives the range of the function.
The range will then be
[tex]\left\{\dfrac{3}{5}(-10)+2, \dfrac{3}{5}(0)+2,\dfrac{3}{5}(5)+2\right\}\\\\=\left\{3(-2)+2, 3(0)+2, 3(1)+2\right\}\\\\=\left\{-4, 2, 5\right\}\\\\[/tex]
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Tyrone received the same score on each hand in a card game. His score on each hand was −18. He played 6 hands.
What was Tyrone's final score?
Enter your answer in the box.
points
-108 points
How?
Because -18×6=-108
------(Showed you some proof from above)
Rich borrowed $5000 at a 7% interest rate for 6 years. What was the total interest? Enter your answer in the box. Hint: Use the formula I= P*R*T where I= Interest Earned/Owed P= Principal R= Rate T= Time
Answer:
$700.000 is the interest
Step-by-step explanation:
hope the answer helps
Simple interest is the interest calculated on the principal at a given rate for a time period.
The simple interest is given as,
SI = (Px R x T) / 100
The total interest is $2100.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The simple interest is given as,
SI = (Px R x T) / 100
We have,
P = $5000
R = 7%
T = 6 years
SI = P x R x T / 100
SI = 5000 x 7 x 6 / 100
SI = 50 x 7 x 6
SI = 50 x 42
SI = $2100
Thus,
The total interest is $2100.
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the two triangles below are similar.
Answer:
Step-by-step explanation:
yes they are just a rotated triangle
Find the maturity value of a loan of Php 5,000 at an interest rate of 15% in 2 years
Answer:
Php 6500
Step-by-step explanation:
Assuming simple interest, the value after 2 years is ...
A = P(1 +rt) . . . . . value of loan of principal P at annual rate r for t years
A = 5000(1 +0.15·2) = 5000(1.30) = 6500
The maturity value will be Php 6500.
1. When is it best to solve a system of equations using graphing?
2. When is it best to solve a system of equations using substitution?
3. When it is best to solve a system of equations using elimination? When it is
1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.
2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.
3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.
For a basic subscription, a cable television provider charges an activation fee of $60, plus $125 per month. What linear function represents the total cost of a basic cable subscription for t months? What is the total cost for two years of service?
Answer:
t=23
Step-by-step explanation:
consider each table. does the table represent a proportional relationship? Select yes or no for tables A-C
Answer:
A. No, it does not represent a proportional relationship.
B. Yes, it represents a proportional relationship.
C. No, it does not represent a proportional relationship.
Step-by-step explanation:
think of the increase for X and Y, if they increase at the same rate for both and and for X to Y, they have a proportional relationship.
find 4/5 x 1 2/3?? please help!
10 points
13 Jake has a wooden board that measures
8.25 feet long. He cuts the board into
pieces that each measure 0.75 feet so
he can make signs. If Jake earns $15.95
for each sign he sells, how much money
can he earn from the signs he makes
from this board?
a
Your answer
Answer:
$175.45
Step-by-step explanation:
8.25 / 0.75 = 11
15.95 x 11 = 175.45
A pilot flew a plane from an altitude of 16,400 feet to an altitude of 15,600 feet what was the change in altitude
Answer: 800 feet.
Step-by-step explanation: 16,400-15,600=800 this is an easier way the find the drop in altitude.
7/8 in lowest terms ?
Answer:
7/8 simplified to lowest terms is 7/8.
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 7 and 8 is 1
Divide both the numerator and denominator by the GCD
7 ÷ 1
8 ÷ 1
Reduced fraction:
7
8
Therefore, 7/8 simplified to lowest terms is 7/8.
−6x≥17 Give your answer as an improper fraction in its simplest form.
HELPPPPPP QUICK
Answer:
[tex]x \leqslant \frac{ - 17}{6} [/tex]
help with this pleased
Answer:
Kite A ascends to a height of 36 feet
Step-by-step explanation:
21 + 15 = 36
Answer:
Kite A is now at 36 feet.
Step-by-step explanation:
Ascend means go up, so adding 15 to 21 gives you your answer.
You have 4/3 chocolate bars. You want to give 1/2 of the chocolate bars you have to your friend. What fraction of the chocolate bars would each of you get
The fraction 8/3 of the chocolate bars would each of you get.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
You have 4/3 chocolate bars.
You want to give 1/2 of the chocolate bars to your friend.
To find the fraction of the chocolate bars would each of you get:
Use division operation,
4/3 ÷ 1/2
Rearranging to multiplication term,
4/3 x 2/1
= 8/3
Therefore, 8/3 fraction of the chocolate bars would each of you get.
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y=−2x+7
y=5x−7
x=
y=
Answer:
x = 2
y = 3
Explanation:
Please help please please
Answer:
39
Step-by-step explanation:
284-5(7)²
284-(5×49)
284-245
39
Answer:
The Answer Is 70
Step-by-step explanation:
So first you have do the parentheses, (2+5) = 7
Then do the exponents [tex]7^{2}[/tex] 7.7 = 49
Next do the Multiplying 49.5= 214
Finally Subtract 284-214=70
I Hope This Helps You :)
The distance of AB = [?]
Round to the nearest tenth.
No links and actual help plz!
Answer:
AB ≈ 5.7
Step-by-step explanation:
Calculate AB using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 2, - 2 ) and (x₂, y₂ ) = (2, 2 )
AB = [tex]\sqrt{(2-(-2))^2+(2-(-2))^2}[/tex]
= [tex]\sqrt{(2+2)^2+(2+2)^2}[/tex]
= [tex]\sqrt{4^2+4^2}[/tex]
= [tex]\sqrt{16+16}[/tex]
= [tex]\sqrt{32}[/tex]
≈ 5.7 ( to the nearest tenth )
A worker at a snack stand opened a new box of spoons. The first day, the worker used 25 spoons from the box. The second day, the worker used 15% of the remaining spoons in the box. A total of 140 spoons were used on the second day. What was the original number of spoons in the box before any spoons were used?
The original number of spoons is 958
Let the total number of spoon be x.
The first day, 25 spoons were removed.
So, the remaining spoon (r) is:
[tex]r =x -25[/tex]
15% of the remaining spoon were used.
So, we have:
[tex]15\% \times r =15\% \times (x -25)[/tex]
This 15% represents 140 spoons.
So, the equation becomes
[tex]15\% \times (x -25) = 140[/tex]
Express 15% as decimal
[tex]0.15 \times (x -25) = 140[/tex]
Divide both sides by 0.15
[tex](x -25) = 933[/tex]
Remove brackets
[tex]x -25 = 933[/tex]
Add 25 to both sides
[tex]x= 958[/tex]
Hence, the original number of spoons is 958
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