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motikmotik
3 years ago
10

Madeline invests $25,000 in an account that offers a compound interest rate of 9.5% per year. Which of the following is the corr

ect equation for how much Madeline will have after 8 years?
Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0
Use this equation:   Amount after years=Initial investment*(1+Interest rate/time compounded yearly)^number of years*times compounded yearly

So A=25,000(1+.095/1)^8*1
Simplify
A=25000(1.095)^8
Simplify
A=25000(2.07)
Solve
A=$51,671.73

This equation can be used for all problems of this type.

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Sandra throws an object straight up into the air with initial velocity of 38 ft per square from platform that is 30 ft above the
expeople1 [14]

Answer:

3 seconds.

Step-by-step explanation:

We have been given that Sandra throws an object straight up into the air with initial velocity of 38 ft per second from platform that is 30 ft above the ground.

To find the time it will take for object to hit the ground, we will use formula:  

h(t)=-16t^2+v_0t+h_0, where, v_0 represents initial velocity and h_0 represents initial height.

Upon substituting our given initial velocity and initial height, we will get:

h(t)=-16t^2+38t+30

We know that object will hit the ground, when height will be 0, so we will equate object's height equal to 0 and solve for t as:

-16t^2+38t+30=0

Divide by 2:

-8t^2+19t+15=0

Upon using quadratic formula, we will get:

t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-19\pm\sqrt{19^2-4(-8)(15)}}{2(-8)}

t=\frac{-19\pm\sqrt{361+480}}{-16}=\frac{-19\pm\sqrt{841}}{-16}

t=\frac{-19\pm29}{-16}

t=\frac{-19-29}{-16},t=\frac{-19+29}{-16}

t=\frac{-48}{-16},t=\frac{10}{-16}

t=3,t=-\frac{5}{8}

Since time cannot be negative, therefore, it will take 3 seconds for object to hit the ground.

7 0
3 years ago
How to rewrite 2+2+2+2+2 into a multiplication problem?
inna [77]

Answer:

2 x 5

Step-by-step explanation:

Think of it as "the value 2 is being added together 5 times" being added together so it could be written as 2 times 5.

5 0
3 years ago
Read 2 more answers
Bob and ling are playing a number pattern game. Bob wrote the following sequence
seraphim [82]
The unknown term is 22.6

28.9
26.8
24.7
22.6
20.5

As you can see, the numbers after the decimal point descends by 1 point. 9 , 8 , 7 , 6 , 5
While the numbers before the decimal point descends by 2 points, 28 , 26 , 24 , 22 , 20


6 0
3 years ago
Read 2 more answers
Please help me, very important 20 points!
kipiarov [429]

x=96


all interior angles equal 180


Subtract exterior andgles by 180 to get interior angles because they are supplementary

180-134=46

180-130=50


Get the third angle inside the triangle

180-50-46=84


subtract by 180 to get x because they are supplementary

180-84=96


Therefore x =96

4 0
3 years ago
Which value for x makes this sentence true? ( 8th Grade math )
fenix001 [56]
The answer is x=5 :)
6 0
3 years ago
Read 2 more answers
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