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3 years ago

10

Sophia has $9,000 in a savings account that earns 15% interest, compounded annually. To the nearest cent, how much will she have

in 4 years?

1 answer:

DanielleElmas [232]3 years ago

3 0

Answer: 14,400

Step-by-step explanation:

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Help help help help help

Semenov [28]

Your answers are a and d hope this helps

4 0

4 years ago

Find the value of x.

Luden [163]

Solution given in the attachment.

7 0

1 year ago

What is the value of x?

Aleksandr [31]

Answer:

x = 20

Step-by-step explanation:

these are vertical angles and vertical angles are congruent

3x+50 = 6x-10

3x = 6x - 60

-3x = -60

x = 20

6 0

3 years ago

6. Michael Johnson holds the Olympic record for the men's 400m race at 43 seconds. His

vlada-n [284]

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Step-by-step explanation:

We have to calculate his unit rate for both type of races

So,

<u>Unit rate for 400m race:</u>

Distance = 400m

Time = 43 sec

$Unit\ rate = U_1= \frac{Distance}{Time}\\=\frac{400}{43}\\=9.30\ meters\ per\ second$

<u>Unit rate for 300m Race:</u>

Distance = 300m

Time = 31 sec

$Unit\ Rate= U_2=\frac{300}{31}\\=9.68\ meters\ per\ second$

The difference between both unit rates is:

$U_2-U_1 = 9.68-9.30\\=0.38 => 0.4\ meters\ per\ sec$

Hence,

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Keywords: Unit rate, Speed

Learn more about unit rate at:

#LearnwithBrainly

7 0

3 years ago

What equation represents y=2x^2+24x+85 in vertex form

Andrej [43]

Y=a(x-h)^2+k

vertex form is basically completing the square

what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway

y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13

vertex form is
y=2(x+6)^2+13

8 0

3 years ago