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Genrish500 [490]

3 years ago

15

The sum of two numbers is 24 and their difference is 2?

1 answer:

mote1985 [20]3 years ago

7 0

X + y = 24
x - y = 2

Adding both equations
2x = 26
x = 13
y = 11

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What is the balance on a deposit of $1,150 that earns 9% interest compounded annually for 2 years

igor_vitrenko [27]

Step One: Calculate interest.

$1150*0.09=103.5$

Step Two: Calculate the amount at the end of the first year.

$1150+103.5=1253.5$

Step Three: Calculate the amount at the end of the second year. This will be your final answer.

$1253.5+103.5=1357$

$1357 balance

3 0

3 years ago

Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Lelechka [254]

Answer:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}} = 32$

Step-by-step explanation:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}$

Solving using exponent rule: $a^{-m}=\frac{1}{a^m}$

$\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32$

So, $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4}$

Using the exponent rule: $a^m.a^n=a^{m+n}$

We have:

$2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}$

We also know that: $a^{-m}=\frac{1}{a^m}$

Using this rule:

$2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}$

So, $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2$

Solving:

$(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}$

So, $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}}$

We know that: $a^{-m}=\frac{1}{a^m}$

$\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32$

So, $\frac{2}{2^{-4}} = 32$

3 0

2 years ago

Harold bought 3 pounds of red apples and 4.2 pounds of green apples ftom Blue Star Grocery,where both kinds of apples are $1.75

vladimir2022 [97]

Hi There!

Step-by-step explanation:

4.2 + 3 = 7.2

7.2 * 1.75 = 12.6

Answer:

Harold spent $12.60 on apples.

Hope This Helps :)

8 0

3 years ago

Which of the following is equivalent to 18 minus square root negative 25

kodGreya [7K]

Answer:

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3 years ago

Someone help....please

shtirl [24]

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2 years ago