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3 years ago

-5(4x-2)=-2(3+6x) Can you solve

1 answer:

6 0

<span>-5(4x-2)=-2(3+6x)
First use the distributive property on</span>-5(4x-2) and -2(3+6x)
<span>-5(4x-2)=-2(3+6x)
-20x + 10 = -6 - 12x
Now combine like terms
</span>-20x + 10 = -6 - 12x
-20x + 12x = -6 - 10
Now finish simplifying
-20x + 12x = -6 - 10
-8x = -16
-8x / -8 = -16 / -8
x = 2

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3 years ago

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Step-by-step explanation:

The Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

This means that

3x - 10 = 25 + (x+15)

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4 years ago

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3 years ago

Read 2 more answers

Please I could really use some help on this (50 points, 5 stars and Brainliest)

jarptica [38.1K]

Answer:

(a) $A(n)=5500(1.01)^{4n}$

(b)$5955.71

Step-by-step explanation:

For an initial principal P deposited in an account at an annual interest r compounded for a number of period k, the amount in the account after n years is given by the model:

$A(n)=P(1+\dfrac{r}{k})^{nk}$

(a)Aunt Ga Ga gave you $5,500 to save for college.

P=$5,500

Annual Interest, r=4%=0.04

Since interest is compounded quarterly, Number of Periods, k=4

Therefore, an exponential function modeling this situation is:

$A(n)=5500(1+\dfrac{0.04}{4})^{4n}\\A(n)=5500(1+0.01)^{4n}\\$Simplified\\A(n)=5500(1.01)^{4n}$

(b)After 2 years, i.e. when n=2

$A(2)=5500(1.01)^{4*2}\\=\$5955.71$

(c)When A(n)=$10000, we have:

$10000=5500(1.01)^{4n}\\$Divide both sides by 5500\\(1.01)^{4n}=\dfrac{10000}{5500} \\$To solve for n, we change to logarithm form\\Log_{1.01}\dfrac{10000}{5500}=4n\\= \dfrac{ Log \dfrac{10000}{5500}}{Log 1.01}=4n\\4n=60.08\\n=60.08 \div 4\\n=15.02\\$Therefore, in 15.02 years, the account would be worth $10,000.$

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3 years ago

Find the unit rate: $23.96 for 4 pounds

Volgvan

Answer:

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Step-by-step explanation:

Convert to a decimal by dividing the numerator by the denominator.

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3 years ago

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