The temperature at noon at a ski resort is 3 F . The temperature drops 8 F by midnight what is the temperature at midnight

Jack deposited $47,323.15 in an account earning 5% interest compounded annually.

Vera_Pavlovna [14]

Answer:

Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.

General Formulas and Concepts:
Algebra I

Compounded Interest Rate Formula: $\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}$

A is final amount
P is principle amount
r is rate
n is compounded rate
t is time

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $47,323.15

r = 0.05

n = 1

t = 3

Step 2: Find Interest

[Compounded Interest Rate Formula] Substitute in variables:
$\displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}$
Evaluate:
$\displaystyle A = \boxed{54782.5}$

∴ Jack will gain $7,459.31 and have a net balance of $54,782.50.

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Learn more about Algebra I: brainly.com/question/27710663

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Topic: Algebra I

5 0

2 years ago

Y = 4x + 3 y = 2x − 4 what is the system of equations?

borishaifa [10]

Answer: X=-7/2

y=-11

Step-by-step explanation:

4x+3=2x-4

4x-2x=-4-3

2x=-7

x=-7/2

y=-7/2*2-4

y=-7-4=-11

4 0

4 years ago

In a new video game, Franky had -16 1/2 points. He was able to earn 3/4 of the points he lost back. How many points did he have?

lyudmila [28]

Answer:

slightly confused on the wording if he got back 3/4 from 16.5 then he earned back 12.375 points

if -16.5 is the 1/4 he didnt get back then he had 66 points

Step-by-step explanation:

7 0

2 years ago

The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the l

choli [55]

Answer:

9

Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

${x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9$

Thus the cube root of the larger number is 9.

8 0

4 years ago

What is the same of the data? skewed right skewed left symmetrical not enough info

Solnce55 [7]

Hi djdjfjfjfjfjgjtificnfnfnfjfj

5 0

3 years ago