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Darina [25.2K]
2 years ago
12

write an equation to find the amount of simple interest, earned on a 600 dollar investment after 9 months, of the interest rate

is 2.5%
Mathematics
1 answer:
tatuchka [14]2 years ago
3 0

Equation:
A = P(1 + rt)
How to do it:
First, converting R percent to r a decimal
r = R/100 = 2.5%/100 = 0.025 per year,
putting time into years for simplicity,
9 months ÷ 12 months/year = 0.75 years,
then, solving our equation
A = 600(1 + (0.025 × 0.75)) = ___
What is it?
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You pay $40 each month for satellite TV, plus $3.50 for every movie you purchase. Write and solve an equation to find the number
IRINA_888 [86]

Answer:3.50x+40=57.50

They bought 5 movies

Step-by-step explanation:

3 0
2 years ago
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Naomi and Hudson work at a dry cleaners ironing shirts. Naomi can iron 35 shirts
IceJOKER [234]

Answer:

n, h = Naomi's and Hudson's work hours, respectively

n + h = 13

35n +20h = 395

Step-by-step explanation:

We are asked for the number of work hours of Naomi and Hudson. It is convenient to define the variables n and h to represent those hours, respectively. Then the system of equations is ...

 n + h = 13 . . . . . . . . . . . . total work hours

 35n +20h = 395 . . . . . . total shirts ironed

_____

The solution is Naomi worked 9 hours; Hudson worked 4 hours.

6 0
3 years ago
The coordinates of the vertices of a polygon are (-2, 1). (-3, 3), (-1, 5), (2, 4), and (2, 1). What is the perimeter of the pol
kobusy [5.1K]

Answer:

15.2\ units

Step-by-step explanation:

step 1

Plot the vertices of the polygon to better understand the problem

we have

A(-2, 1). B(-3, 3), C(-1, 5), D(2, 4),E(2, 1)

using a graphing tool

The polygon is a pentagon (the number of sides is 5)

see the attached figure

The perimeter is equal to

P=AB+BC+CD+DE+AE

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 2

<em>Find the distance AB</em>

A(-2, 1). B(-3, 3)

substitute in the formula

d=\sqrt{(3-1)^{2}+(-3+2)^{2}}

d=\sqrt{(2)^{2}+(-1)^{2}}

d_A_B=\sqrt{5}=2.24\ units

step 3

<em>Find the distance BC</em>

B(-3, 3), C(-1, 5)

substitute in the formula

d=\sqrt{(5-3)^{2}+(-1+3)^{2}}

d=\sqrt{(2)^{2}+(2)^{2}}

d_B_C=\sqrt{8}=2.83\ units

step 4

<em>Find the distance CD</em>

C(-1, 5), D(2, 4)

substitute in the formula

d=\sqrt{(4-5)^{2}+(2+1)^{2}}

d=\sqrt{(-1)^{2}+(3)^{2}}

d_C_D=\sqrt{10}=3.16\ units

step 5

<em>Find the distance DE</em>

D(2, 4),E(2, 1)

substitute in the formula

d=\sqrt{(1-4)^{2}+(2-2)^{2}}

d=\sqrt{(-3)^{2}+(0)^{2}}

d_D_E=\sqrt{9}\ units

d_D_E=3\ units

step 6

<em>Find the distance AE</em>

A(-2, 1).E(2, 1)

substitute in the formula

d=\sqrt{(1-1)^{2}+(2+2)^{2}}

d=\sqrt{(0)^{2}+(4)^{2}}

d_A_E=\sqrt{16}\ units

d_A_E=4\ units

step 7

Find the perimeter

P=AB+BC+CD+DE+AE

substitute the values

P=2.24+2.83+3.16+3+4=15.23\ units

Round to the nearest tenth of a unit

P=15.2\ units

6 0
2 years ago
You deposit $4000 in an account earning 6% interest compounded continuously. How much money will you have in the account in 15 y
boyakko [2]

Answer:

9586.232772

$4000×1.06( to the power of 15)=9586.232772

4 0
2 years ago
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