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3 years ago

15x + 3 + 2x + 9r - (8 - r)

Mathematics

1 answer:

bezimeni [28]3 years ago

6 0

Answer:

17x + 10r -5

Step-by-step explanation:

15x +3 + 2x + 9r- (8-r)

17x +3 +9r -8 +r

17x+ 10r+ -5

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Round 12.5829 to the nearest hundredth

natima [27]

12.58 i’m pretty sure

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What is the interest rate of each investment if The annual interest on a $17,000 investment exceeds the interest earned on an $8

Butoxors [25]

Solution-

Let's assume, the rate of interest of $8000 is x%,

then the rate of interest of $17000 is (x+0.3x) =1.3x%

Interest earned by $8000,

$i_1=\frac{8000\times x\times 1}{100} =80x$

Interest earned by $17,000,

$i_2=\frac{17000\times 1.3x\times 1}{100} =221x$

According to the question,

$\Rightarrow i_1=i_2+276$

$\Rightarrow 221x=80x+276$

$\Rightarrow 221x-80x=276$

$\Rightarrow 141x=276$

$\Rightarrow x=1.96$

∴ Rate of interest of $8000 is 1.96% and rate of interest of $17000 is (1.3×1.96) =2.55%

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3 years ago

Simplify. (4w + 3) – 2w + 7 2w + 10 2w - 10 6w + 10 6w - 10

7nadin3 [17]

Hey there,

2w+10 would be the best choice here.
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3 years ago

Choose the congruence theorem that you would use to prove the triangles congruent.

Elena L [17]

Answer:

SAS

Explanation:

Before solving the problem, let's define each of the given theorems:

1- SSS (side-side-side): This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

2- SAS (side-angle-side): This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

3- ASA (angle-side-angle): This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

4- AAS (angle-angle-side): This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

Now, let's check the given triangles:

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by SAS theorem

Hope this helps :)

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3 years ago

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A population of flies grows according to the function p(x)=6(3)^x, where x is measured in weeks. A local spider has set up shop

Doss [256]

The final population of the flies is equal to the growth rate minus the number of flies consumed by the spiders. That is,
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Thus, the final population of the flies would be 45.

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3 years ago