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3 years ago

Please see attached below and please explain how to solve.

Mathematics

1 answer:

densk [106]3 years ago

5 0

Answer:

The 6% simple interest account earns more interest in 2 years.

Step-by-step explanation:

You can compare the multipliers in the interest formulas.

For simple interest, the amount in the account (A) starting with principal P and earning at rate r for t years will be ...

A = P(1 +rt)

For the values given, r=.06 and t=2, the multiplier is ...

1 +rt = 1 +.06·2 = 1.12

For interest compounded annually, the amount will be ...

A = P(1 +r)^t

For the given values, the multiplier is ...

(1+r)^t = (1.04)^2 = 1.0816

Since 1.12 > 1.0816, the account earning simple interest will earn more interest.

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Help with one homework question for all

NeX [460]

Answer:

21 m

Step-by-step explanation:

P= a+b+c

so it be 9+7.5+4.5 = 21

9-1.5 = 7.5

9/2 = 4.5

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4 years ago

Square root of the quantity x minus 2 end quantity plus 8 equals x

Butoxors [25]

ANSWER

x=11

EXPLANATION

We want to solve the equation:

$\sqrt{x - 2} + 8 = x$

Add -8 to both sides:

$\sqrt{x - 2} = x - 8$

Square both sides of the equation to get:

$(\sqrt{x - 2} )^{2} =( x - 8)^{2}$

$x - 2 = {x}^{2} - 16x + 64$

Rewrite in the form ax² +bx+c=0

${x}^{2} - 16x - x + 64 + 2 = 0$

${x}^{2} - 17x + 66 = 0$

Factor to get,

$(x - 11)(x - 6) = 0$

This implies that,

$x = 11 \: or \: x = 6$

Checking for extraneous solutions.

When x=6, the original equation becomes,

$\sqrt{6- 2} + 8 = 6$

$\sqrt{4 } + 8 = 6$

2+8= 6 is not true.

x=6 is an extraneous solution.

When x=11, the original equation becomes,

$\sqrt{11- 2} + 8 = 11$

$\sqrt{9} + 8 = 11$

$3 + 8 = 11$

This is true, hence x=11 is the only solution.

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3 years ago

Your company spends 15% of their budget on rent each year. Their operating budget was $45,000. How much was spent on rent? A. $3

tatyana61 [14]

15% in 45000
(15/100) * 45000
$ 6750

6 0

3 years ago

Read 2 more answers

What is the value of a?

Sindrei [870]

Answer:

a=2

Step-by-step explanation:

Firstly, in order to simplify the expression, we should aim to combine the two terms given. In order to do this, both must have the same denominator. We can give them the same denominator by multiplying the second term $-\frac{2}{x+2}$ by $\frac{x+2}{x+2}$ . This way the fraction value remains the same but now has the same denominator as the first term: