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3 years ago

PLZ HELP! I'LL GIVE BRAINLIEST!!

Mathematics

1 answer:

juin [17]3 years ago

4 0

The measure of the exterior angle is

124.5

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Y-x=4 and x is three times the value of y, what is the value of x+y?

slega [8]

Answer:

x+y=-8

Step-by-step explanation:

y-x=4

x=3y

y-3y=4

x=3y

-2y=4

x=3y

y=4/(-2)

x=3y

y=-2

x=3*(-2)

x=-6, y=-2 then

x+y=-6-2=-8

6 0

3 years ago

If you invest $100,000 in an account earning 8% interest compounded annually, how long will it take until the account holds $300

Monica [59]

We have been given that you invest $100,000 in an account earning 8% interest compounded annually. We are asked to find the time it will take the amount to reach $300,000.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

$8\%=\frac{8}{100}=0.08$

$300,000=100,000(1+\frac{0.08}{1})^{1\cdot t}$

$300,000=100,000(1.08)^{t}$

$\frac{300,000}{100,000}=\frac{100,000(1.08)^{t}}{100,000}$

$3=(1.08)^{t}$

$(1.08)^{t}=3$

Let us take natural log on both sides of equation.

$\text{ln}((1.08)^{t})=\text{ln}(3)$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$t\cdot \text{ln}(1.08)=\text{ln}(3)$

$\frac{t\cdot \text{ln}(1.08)}{\text{ln}(1.08)}=\frac{\text{ln}(3)}{\text{ln}(1.08)}$

$t=\frac{1.0986122886681097}{0.0769610411361283}$

$t=14.274914586$

Upon rounding to nearest tenth of year, we will get:

$t\approx 14.3$

Therefore, it will take approximately 14.3 years until the account holds $300,000.

7 0

3 years ago

What is the quotient? −2 1/8 ÷1 1/4

Mariulka [41]

The quotient is -1.7!

4 0

3 years ago

Read 2 more answers

What is the vertex of y = - | x + 3 | + 5

Katyanochek1 [597]

Answer:

vertex = (- 3, 5 )

Step-by-step explanation:

The general form of the absolute value function is

y = a | x - h | + k

where (h, k) are the coordinates of the vertex

Given

y = - | x + 3 | + 5 ← in general form, then

vertex = (- 3, 5 )

7 0

3 years ago

What does range mean?

AveGali [126]

Answer:

Hey there!

The range is the possible y-values of any function. That's the definition, but identifying range takes practice, so let me know if you need any help with that.

Hope this helps :)

6 0

4 years ago