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3 years ago

30 Points!!! Remember show your work!

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

(a)

1.2² = 1.2 × 1.2 = 1.44

(b)

2³ + 17 - 3 × 4 ← evaluate exponent and multiplication before adding/subtracting

= 8 + 17 - 12 = 25 - 12 = 13

(c)

9² ÷ 3³ ← evaluate exponents before dividing

= 81 ÷ 27 = 3

Tpy6a [65]3 years ago

4 0

Answer:

a = 1.44

b = 21.6

c = 3

Step-by-step explanation:

a is 1.44 because 1.2 × 1.2 = 1.44

b is 21.6 because 2 × 2 × 2 = 8 so it is 8 + 17 - 3.4 which is 21.6

c is 3 because 9 × 9 = 81 and 3 × 3 × 3 = 27 so 81 ÷ 27 = 3

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3 years ago

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zysi [14]

The exponential to describe $100 at 2% interest, compounded annually, for x years is $y=100(1.02)^{x}$

<h3><u>Solution:</u></h3>

Given that $ 100 at 2 % interest , compounded annually for "x" years

<em><u>The formula for compound interest, including principal sum, is:</u></em>

$A=P\left(1+\frac{r}{n}\right)^{n t}$

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here in this sum,

P = $ 100

$r = 2 \% = \frac{2}{100} = 0.02$

number of years = x

Here given that compounded annually , so n = 1

Let "y" be the amount after "x" years

Substituting the values in formula we get,

$\begin{aligned}&y=100\left(1+\frac{0.02}{1}\right)^{1 \times x}\\\\&y=100(1+0.02)^{x}\\\\&y=100(1.02)^{x}\end{aligned}$

Thus the exponential to describe is $y=100(1.02)^{x}$

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4 years ago