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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%

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

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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

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

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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

$P=15.2\ units$

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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