A mother puts $10,000 into a special bank account on the date of birth of her first born. The account earns interest at a rate of 4%, and compounds 4 times per year. When the child turns 18, he receives the lump sum. How much will the child receive?

Answers

Answer 1
Answer: the equation to calculate compound percentage rate is :
A(t) = P(1+(r/n))^(nt)
In this case t is 18 years, we put rate (r), number of compounds per day.
A(18) = 10,000(1+(0.04/4))^(4*18)= 10,000(1.01)^72= $20,470.99

Child will receive $20,470.99 on it's 18 birthday.


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A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?See attachment below for picture/answer choices
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Max travels to see his brother's family by car. He drives 216 miles in 4 hours. What is his rate in miles per hour? B) Suppose he makes two stops of 10 minutes each during his journey. Will he be able to reach the town in 4 hours if he keeps the speed the same?

Answers

Answer:

54 miles/hour

If he made two stops of 10 minutes each and maintains the same speed, it would take him more than 4 hours to reach the town as the time speed would have been extended by 20 minutes.

Step-by-step explanation:

The rate of change of distance with time is called speed and it is measured in miles per hour. Mathematically,

Speed = Distance/time

His rate in miles per hour is his speed

= 216/4

= 54 miles per hour

Answer:

Rate in miles per hour: 54 miles per hour

Step-by-step explanation:

Simplify the expression below.
√169

Answers

Answer:

The simplified form of the given expression is 13.

Step-by-step explanation:

The given expression is

√(169)

It can be written as

√(13* 13)

√(13^2)

(13^2)^{(1)/(2)}                [\because √(x)=x^{(1)/(2)}]      

13^{(2)/(2)}                   [\because (x^m)^n=x^(mn)]      

13^(1)

13

Therefore the simplified form of the given expression is 13.

The square root of 169 is 13 because 13X13 equals to 169.

The equation |x − 8| = 3 represents the minimum and maximum percent of people in a survey who are undecided about an issue. What percent of the people in the survey are undecided about an issue?

Answers

The equation represents the minimum x = 5 or 0.05% and maximum percent x = 11 or 0.11% of people in a survey who are undecided about an issue.

Given that,

Equation |x − 8| = 3 ,

The minimum and maximum percent of people in a survey who are undecided about an issue.

We have to find,

What percent of the people in the survey are undecided about an issue.

According to the question,

Equation,  |x − 8| = 3

The equation with mod solving two time with positive and negative sign.

On solving the equation,

x - 8 = 3\n

Adding 8 both the sides,

x - 8 + 8 = 3 +8\nx = 11

And Again solving with (-) sign,

- (x-8) = 3\n-x + 8 = 3

Subtract 8 from both sides,

-x + 8 - 8 = 3-8\n- x = -5

Divided by (-) both the sides,

x = 5

The minimum 0.05%.

Hence, The equation represents the minimum x = 5 or 0.05% and maximum percent x = 11 or 0.11% of people in a survey who are undecided about an issue.

For more information about ModulusFunction click the click given below.

brainly.com/question/14070556

| x - 8| = 3

x - 8 = 3            - (x - 8) = 3
x = 3 + 8           -x + 8 = 3
x = 11                -x = 3 - 8
                         -x = - 5
                           x = 5

Minimum : 5%    Maximum : 11%    if u need them added it is 16%

I need help ASP! 1 inches equals 25 miles on a map if two cities on a map are 2 inches apart how far apart are actually

Answers

Hi there! This is basic multiplication, if 1 inch equals 25 miles than 2 inches equals 50 miles. To get this answer all I did was multiply 25 by 2 to get the answer of 50 miles.
just multiply 2*25 and the answer would be 50:)

The photograph below shows a bouncing ball in front of an illuminated grid. The heights of the ball's bounces make a geometric sequence. What will the height of the next bounce be?A. 0.28812 m
B. 0.2352 m
C. 0.1764 m
D. 0.26724 m

Answers

The sequence would be written as:

1.2, 0.84, 0.588, 0.4116

If this is a geometric sequence, then they should have a common ratio. We determine as follows:

0.4116 / 0.588 = 0.7
0.588 / 0.84 = 0.7
0.84 / 1.2 = 0.7

r = 0.7 

an = a1(r^(n-1))
an = 1.2 (0.7^(5-1))
an = 0.28812 <--------option A
Hello there.

The photograph below shows a bouncing ball in front of an illuminated grid. The heights of the ball's bounces make a geometric sequence. What will the height of the next bounce be?

A. 0.28812 m

Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts into 3/10 kilogram bags. How many bags of mixed nuts does she have.

Answers

The total number of bags of mixed nuts with Carmela are 5.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Carmela who mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts into 3/10 kilogram bags.

We can write the equation as -

(3/4 + 1/2 + 1/4) x 1000 = (3/10) x 1000 x n

1.5 x 1000 = 3 x 100 x n

1.5 x 10 = 3n

15 = 3n

n = 5

Therefore, the total number of bags of mixed nuts with Carmela are 5.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ2

Answer:

5

Step-by-step explanation: