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torisob [31]
3 years ago
6

What is the total amount that First Consumer Bank will receive after lending Jane $7,000 for three years at an interest rate of

5 percent, compounded annually?
Mathematics
1 answer:
8_murik_8 [283]3 years ago
6 0
Given:
principal = 7,000
interest rate = 5% compounded annually
term = 3 years

A = P (1 + r/n)^nt

A = future amount to be received by First Consumer Bank
P = loan principal
r = rate
n = number of times compounded in a year
t = term

A = 7,000 ( 1 + 5%/1)^1x3
A = 7,000 (1.05)³
A = 7,000 (1.157625)
A = 8,103.375

First Consumer Bank will receive 8,103.375 from Jane after lending 7,000 for 3 years compounded annually at 5%.
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Penny's garden has alength of 16ft. and the width is 5 ft. with a rectangular fountain in the middle that measures 5 ft by 9 ft.
lilavasa [31]

First we need the whole garden:

16 x 5 = 80

Now we need to fountain:

5 x 9 = 45

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3 years ago
(X^3)^1/3 <br> What is the simplest form of this expression?
Norma-Jean [14]
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7 0
3 years ago
Select the correct answer from each drop-down menu.
serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: (x-4)^2+(y-8)^2=6.25

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

The center is at; (\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(4-4)^2+(10.5-8)^2}

r=\sqrt{0^2+(2.5)^2}

r=\sqrt{0^2+(2.5)^2}=2.5

The equation of the circle in standard form is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get;

(x-4)^2+(y-8)^2=2.5^2

(x-4)^2+(y-8)^2=6.25

6 0
3 years ago
Michael is using a number line to evaluate the expression –8 – 3. A number line going from negative 12 to positive 12. A point i
Nata [24]

Answer:

move to the left 3 more spaces

Step-by-step explanation:

you are at -8 already. Therefore, you (-3) more spaces, so you go to the left three more spaces. Use the saying keep change change to help with this.

Keep the first number sign, change the next sign, and the next sign.

6 0
3 years ago
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