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2 years ago

5 fewer than a number, k.

Mathematics

2 answers:

blagie [28]2 years ago

5 0

Answer:

k-5. The question seems incomplete though.

tatuchka [14]2 years ago

3 0

Answer:

k - 5

Step-by-step explanation:

5 fewer than a number, k can be written as 5 less than k, which is k - 5.

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An initial deposit of $45,000 grows at an annual rate of 10% for 20 years. Compare the final balances resulting from continuous

Ugo [173]

Answer:

Annual: $302 737.50

Continuous: $332 507.52

Step-by-step explanation:

A. Compounded annually

The formula for compound interest is

A = P(1 + r)ⁿ

Data:

P = $45 000

r = 10 %

t = 20 yr

Calculations:

n = 20

A = 45 000(1+ 0.10)²⁰

= 45 000 × 1.10²⁰

= 45 000 × 6.727 499 95

= $302 737.50

B. Compounded continuously

The formula for continuously compounded inerest is

$A = Pe^{rt}$

$A = 45 000e^{0.10 \times20}$

$= 45 000e^{2.0}$

= 45 000 × 7.389 056 61

= $332 507.52

4 0

3 years ago

The measures of the angles of a triangle are shown below. solve for x

NeTakaya

Answer is in the file below

tinyurl.com/wpazsebu

8 0

2 years ago

Read 2 more answers

Which is a simplified form of the expression -4(n + 1) – (n + 2)?

Nadya [2.5K]

Answer:

-(5 n + 6)

Step-by-step explanation:

Simplify the following:

-4 (n + 1) - (n + 2)

-4 (n + 1) = -4 n - 4:

-4 n - 4 - (n + 2)

-(n + 2) = -n - 2:

-4 - 4 n + -n - 2

Grouping like terms, -4 - 4 n - 2 - n = (-4 n - n) + (-4 - 2):

(-4 n - n) + (-4 - 2)

-4 n - n = -5 n:

-5 n + (-4 - 2)

-4 - 2 = -(4 + 2):

-5 n + -(4 + 2)

4 + 2 = 6:

-5 n - 6

Factor -1 out of -5 n - 6:

Answer: -(5 n + 6)

4 0

3 years ago

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How to solve this problem step by step. Make brainliest answer if its done. Please

sladkih [1.3K]

D is halfway between A and B

so the coordinates of D are (2,2)

E is halfway between A and C so the coordinates of E are (-1,1)

now you need to find the gradient/slope of DE and BC using the formula:

$\frac{y2 - y1}{x2 - x1}$

<h3>Gradient of DE: </h3>

SUB IN COORDINATES OF D AND E

$\frac{1 - 2}{ - 1 - 2}$

therefore the gradient of DE is 1/3.

<h3>Gradient of BC:</h3>

SUB IN COORDINATES OF B AND C

 $\frac{ - 2 - 0}{ - 3 - 3}$ 

therefore the gradient of BC is -2/-6 which simplifies to 1/3.

<h3>therefore, BC and DE are parallel as they both have a gradient/slope of 1/3 and parallel lines have the same gradient</h3>

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3 years ago

What is the geometric mean between 20 and 15?

Oksi-84 [34.3K]

<h3>I hope it helps you see the attachment below</h3>

Step-by-step explanation:

<h2>#Princesses Rule</h2>

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2 years ago