Answer:
$552.04
Step-by-step explanation:
Lauren, use the compound amount formula: A = P(1 + r)^n.
Here P is the principal and is $500; r is the annual interest rate as a decimal fraction, and n is the number of years.
After 5 years, Anna will have: $500(1 + 0.02)^5 = $552.04
Answer:
B
Step-by-step explanation:
12% is also known as 0.12 which we can multiply by $98 to get the answer.
(hope this helps)
Answer:
⠀
Step-by-step explanation:
The triangle having two sides equal along with one different side is called an isosceles triangle.
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- So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.
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We know that,
- The sum of all angles of a triangle is 180°
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So, According to the question :
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![{\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cit%5Cqquad%20%7B%20%5C%20%7B%20%7B%20%2038%20%5C%3A%20%7D%5E%7B%20%5Ccirc%7D%20%20%20%2B%20x%20%2B%20x%20%20%3D%20%20180%7B%7D%5E%7B%20%5Ccirc%7D%20%7D%7D%7D)
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![{\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cit%5Cqquad%20%7B%20%5C%20%7B%20%7B%20%2038%20%5C%3A%20%7D%5E%7B%20%5Ccirc%7D%20%20%20%2B%202x%20%20%20%3D%20%20180%7B%7D%5E%7B%20%5Ccirc%7D%20%7D%7D%7D)
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![{\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cit%5Cqquad%20%7B%20%5C%20%7B%20%20%202x%20%20%20%3D%20%20180%7B%7D%5E%7B%20%5Ccirc%7D%20-%20%7B%20%2038%20%5C%3A%20%7D%5E%7B%20%5Ccirc%7D%7D%7D%7D)
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![{\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cit%5Cqquad%20%7B%20%5C%20%7B%20%20%202x%20%20%20%3D%20%20142%7B%7D%5E%7B%20%5Ccirc%7D%20%20%7D%7D%7D)
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![{\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cit%5Cqquad%20%7B%20%5C%20%7B%20%20%20x%20%20%20%3D%20%20%20%20%5Cdfrac%7B142%7B%7D%5E%7B%20%5Ccirc%7D%7D%7B2%7D%20%20%20%7D%7D%7D)
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![{\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cit%5Cqquad%20%7B%20%5Cpmb%20%7B%20%20%20x%20%20%20%3D%20%2071%5E%7B%20%5Ccirc%7D%20%20%7D%7D%7D)
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Therefore,
- The measure of the two other angles of the isosceles triangle are 71° and 71°.
Greetings!
"<span>Six times a number increased by 20 is four less than eight times the number. Find the number."...
This would be, as an equation:
</span>
![6x+20=8x-4](https://tex.z-dn.net/?f=6x%2B20%3D8x-4)
Solve:
Add
4 and
-6x to both sides.
![(6x+20)+4+(-6x)=(8x-4)+4+(-6x)](https://tex.z-dn.net/?f=%286x%2B20%29%2B4%2B%28-6x%29%3D%288x-4%29%2B4%2B%28-6x%29)
Simplify.
![24=2x](https://tex.z-dn.net/?f=24%3D2x)
Divide both sides by
2.
![(24)/2=(2x)/2](https://tex.z-dn.net/?f=%2824%29%2F2%3D%282x%29%2F2)
Simplify.
![12=x](https://tex.z-dn.net/?f=12%3Dx)
![x=12](https://tex.z-dn.net/?f=x%3D12)
<span>
x=12Hope this helps.
-Benjamin
</span>