When Derrick turned 15, his grandparents put $10,000 into an account that yielded 4% interest, compounded quarterly. When Derrick turns 18, his grandparents will give him the money to use toward his college education. How much does Derrick receive from his grandparents on his 18th birthday?

Answers

Answer 1

Answer:

Derrick receive $11268.25 from his grandparents on his 18th birthday

Step-by-step explanation:

We are given  Derrick turned 15, his grandparents put $10,000 into an account that yielded 4% interest, compounded quarterly.

When Derrick turns 18, his grandparents will give him the money to use toward his college education.

Principal = $ 10000

Time = 18-15 = 3 years

Rate of interest = [tex]4\% = 0.04[/tex]

No. of compounds per year = 4

[tex]Amount = P(1+\frac{r}{n})^{nt}\\Amount=10000(1+\frac{0.04}{4})^{4 \times 3}\\Amount =11268.25[/tex]

Hence  Derrick receive $11268.25 from his grandparents on his 18th birthday


Related Questions

Please help me!!!!!

in its expanded form a number includes three powers of 10 and a 5 that is worth a lot what might the number be?

Answers

Answer:

im here the answer is b for sure

Step-by-step explanation:

Ammy wrote 66 as an expression equivalent to (62)4 . Her math partner writes 68. Who is correct? Why?

Answers

Answer:

Ammy is correct

Step-by-step explanation:

Ammy's math partner is correct.

Applying the "power of power rule" of exponents, if we have numbers raised by another number, what is needed to be done is to simply multiply the powers.

Thus: [tex] (x^a)^b) = x^{a*b} = x^{ab} [/tex]

Applying this rule, the equivalent expression to [tex] (6^2)^4 = 6^{2*4} = 6^8 [/tex].

Therefore, Ammy's math partner is correct, while Ammy is wrong.

2(x + 9) = 4(x - 7) + 2

Answers

Answer:

x = 22

Step-by-step explanation:

Step 1: Write equation

2(x + 9) = 4(x - 7) + 2

Step 2: Solve for x

Distribute: 2x + 18 = 4x - 28 + 2Combine like terms: 2x + 18 = 4x - 26Subtract 2x on both sides: 18 = 2x - 26Add 26 to both sides: 44 = 2xDivide both sides by 2: 22 = xRewrite: x = 22

Step 3: Check

Plug in x to verify it's a solution.

2(22 + 9) = 4(22 - 7) + 2

2(31) = 4(15) + 2

62 = 60 + 2

62 = 62

Answer:

x=22

Step-by-step explanation:

2x+18=4x-28+2

2x+12=4x-26

2x+44=4x

44=2x

22=x

which two features are part of a line graph

Answers

Answer:

Your answer is: 1) y-axis (vertical) 2) x-axis (horizontal)

Step-by-step explanation:

Hope this helped : )

Write the equation of a line passing through the points (-2,0) and (7,9) in point-slope form.

Answers

Answer:

Y+0=1(x+2)

Step-by-step explanation:

Which expression has the same value as 59.2 - 84.7? *
27 points
A. 84.7 - 59.2
B. -84.7 + (-59.2)
C. 59.2 - (-84.7)​
D. 59.2 + (-84.7)​

Answers

Answer:

D. 59.2 + (-84.7)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

1. Get a warm-up with the following Evaluate each expression for the given value of x. Do these without the aid of a calculator to practice your mental arithmetic. X-8 (a) 3x -8 for x=5 (b) 5(x+7)-1 for x=-3 +5 for x = 4 4​

Answers

Answer:

A=7 B=19 C=6

Step-by-step explanation:

if two is he same as to and too how are they different

Answers

Answer:

two is a number

too means in addition

to means motion in the direction

Step-by-step explanation:

6.04x10 minus 3 cubed

Answers

Answer: .00604

Step-by-step explanation:

Hope this helps

The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits?

Answers

Answer and Step-by-step explanation:

Solution:

Set of values that are intensities of Ambers exercise during fourth, fifth and sixth visits:

63%, 63%,63%, 66%, 69%, 72%, 66%, 62%, 58%, 67%, 67%, 67%, 63%, 65%, 67%, 67%, 72%, 77%/

Program recommends a constant intensity for 3 visits,

Increasing intensity over 3 visits,

And decreasing intensity for 3 visits,

Set of values, which are intensities of Ambers exercise during fourth visits:

66%.

69%,

72%,

Set of values, which are intensities of Ambers exercise during fifth visits:

63%,

65%,

67%,

Set of values, which are intensities of Ambers exercise during sixth visits:

67%,

72%,

77%,

Its decreasing.

Which expression does the graphic represent?

○ 7-1
○ 7-(-1)
○ 8-1
○ 8-(-1)​

Answers

I would believe it would represent 8-1, as the boxes are positive or (+) then it has a cross or negative over a positive which would then be:

8-1

What do I do for number 3

Answers

Answer:

31 yards

Step-by-step explanation:

25 yard + 6 yards = 31 yards

Slove this inequality
5+7x ≤ 26

Answers

Answer:

x<3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

7x+5<26

Step 2: Subtract 5 from both sides.

7x+5−5<26−5

7x<21

Step 3: Divide both sides by 7.

7x/7<21/7

x<3

Answer:

3

Step-by-step explanation:

Subtract 5 from both sides.

7x<21

7 goes into 21, 3 times.

Therefore, x<3

Your local radio station is having their yearly music player and concert ticket giveaway For one minute every fifth called her will win a new player in every step of the college will win concert tickets you were just the first quality win both in music player in concert tickets what number was I ?

Answers

Complete Question:

Your local radio station is having their yearly music player and concert ticket giveaway For one minute every fifth called will win a new player and every seventh caller will win concert tickets you were just the first quality win both in music player in concert tickets what number were you ?

Answer:

The 35th person

Step-by-step explanation:

Given

[tex]New\ Player = 5th[/tex]

[tex]Concert\ Ticket = 7th[/tex]

Required

Determine your position

To do this, we simply need to take LCM of the given parameters;

[tex]5 = 1 * 5[/tex]

[tex]7 = 1 * 7[/tex]

The LCM is as follows:

[tex]LCM = 1 * 5 * 7[/tex]

[tex]LCM = 35[/tex]

Hence:

You're the 35th person

To raise a product to a power raise each factor to the power and multiply the results. Is it true or false?

Answers

Answer:

True

Step-by-step explanation:

Hope this helps x

True

Consider two numbers a and b

Their product will be [tex]\sf a \times b = (ab) [/tex]

Suppose I want to raise this product to a power, say m

That is, [tex]\sf (ab)^m [/tex]

By rules of indices,

[tex]\sf (ab)^m = a^m \times b^m [/tex]

So, we have to raise the individual factors of the product to the power and multiply the results.

Hence the given statement is true.

Kiana wants to purchase a new bicycle for $ 225.45 and helmet for $12.55. If the sales tax rate is 7%, what will be the total amount of Kiana’s purchase including sales tax? 7.13A

Answers

Answer:

$254.66

Step-by-step explanation:

225.45 + 12.55 = 238

7% of 238 = 0.07 × 238 = 16.66

16.66 + 238 = 254.66

Use the fact that 521•73=38,033 Enter the exact product of 521•73

Answers

Answer:

38,033

Step-by-step explanation:

In a 30 pack of Skittles, 30% are red. How many Skittles are red?

Answers

Answer: 9 skittles are red

Answer:

9

Step-by-step explanation:

30/100×30

=3/10×30

=3/1×3

=9

hannon paid $57.25 for 28 pounds of potatoes. Shannon estimated the cost per pound to be $3.00. What is her error?

Answers

She rounded it to the nearest number it should be $2.04.

Which statement describes the sequence −9, −3, 3, 9, 15?

A. An arithmetic sequence with common difference −9
B. An arithmetic sequence with common difference 3
C. An arithmetic sequence with common difference 6
D. Not an arithmetic sequence

Answers

Answer:

C. An arithmetic sequence with a common difference of 6.

Step-by-step explanation:

A is incorrect because the common difference is not -9 (not constant).

B is incorrect because the common difference is not 3 (not constant).

C is the correct answer because the common difference is 6 (constant).

D is incorrect because this is an arithmetic sequence.

-------------------------------------------------------------------------------------------------------

-9 + 6 = -3

-3 + 6 = 3

3 + 6 = 9

9 + 6 = 15

The common difference is +6 (positive 6).

Hope that helps!

Please give me Brainliest!?!?

The progression −9, −3, 3, 9, 15 is an arithmetic sequence with a common difference of 6. The correct option is C.

What is an arithmetic progression?

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Given series is −9, −3, 3, 9, 15.

The common difference is calculated as,

-9 + 6 = -3

-3 + 6 = 3

3 + 6 = 9

9 + 6 = 15

As above it is observed that with the common difference of 6 we found the series,  −9, −3, 3, 9, 15.

Therefore, the progression −9, −3, 3, 9, 15 is an arithmetic sequence with a common difference of 6. The correct option is C.

To know more about arithmetic progression follow

https://brainly.com/question/6561461

#SPJ3

Simplify the following expression to simplest form using only positive exponents.
(32x^-15y^25)^-2/5

Answers

Answer:

[tex]\frac{x^{6} }{4y^{10} }[/tex]

Step-by-step explanation:

THIS is the answer if the equation looks like this. [tex](32x^{-15} y^{25} )^{-2.5}[/tex]

Monsieur Anatole est un artisan spécialiser dans la fabrication de colliers. Il dispose 3 717 perles rouges et de 2 205 perles blanches. En utilisant toutes ses perles, il réalise au maximum de colliers identique. La réalisation de chaque collier lui coute 9,84 €. Un deuxième artisan, Monsieur Bernards, utilise la totalité de ces 1472 perles rouges et 2 898 perles blanches pour fabriquer un maximum de colliers identiques. La fabrication d'un collier lui revient à 8,48 €. Les deux artisans décident de fixer le prix de vente de chaque colliers selon la constitution, à savoir : 22 centimes d'euro par perle rouge et 13 centimes par perles blanches. Sur la vente d'un collier, quel artisan réalise le meilleure bénéfice ?

Answers

Answer:

Sur la vente d'un collier, l'artisan qui a fait le meilleur profit était Monsieur Bernard

Step-by-step explanation:

a) Pour Monsieur Anatole

Nous trouvons le plus grand diviseur commun de 3717 et 2205

Par conséquent, le plus grand diviseur commun = 63

Le nombre de colliers qu'il a fabriqués = 63

Découvrir combien de perles rouges et blanches il a utilisées

Pour les perles rouges =

= 3717/63 = 59 perles

Pour les perles blanches

= 2205/63 = 35 perles blanches

il fabrique 63 colliers avec 59 perles rouges et 35 perles blanches

On nous dit dans la question que:

Les deux artisans décident de fixer le prix de vente de chaque collier selon la constitution, à savoir: 22 centimes d'euro par perle rouge et 13 centimes par perle blanche.

Le prix de vente du collier =

0,22 × 59 + 0,13 × 35 = 17,53 €

Prix ​​de revient = 9,84 €

Le profit est calculé comme suit:

17,53 € - 9,84 € = 7,69 €

Nous calculons le pourcentage de profit

= Bénéfice / Prix de revient × 100

= 7,69 / 9,84 × 100

= 78,150406504%

= 78,2%

b) Pour Monsieur Bernard

Le GCD de 1472 et 2898 = 46

Par conséquent, il a fait 46 colliers

Le nombre de perles rouges = 1472/46

= 32 perles rouges

Le nombre de perles blanches = 2898/46

= 63 perles blanches

Les deux artisans décident de fixer le prix de vente de chaque collier selon la constitution, à savoir: 22 centimes d'euro par perle rouge et 13 centimes par perle blanche.

Le prix de vente de chaque colliers = 32 × 0,22 + 63 × 0,13 = 15,23 €

Le coût Prix du collier = 8,48 € chacun

Le profit qu'il a réalisé = 15,23 € - 8,48 €

= 6,75 €

Nous calculons le pourcentage de profit

= Bénéfice / Prix de revient × 100

= 6,75 / 8,48 × 100

= 79,5990566%

= 79,6%

Sur la vente d'un collier, l'artisan qui a fait le meilleur profit était Monsieur Bernard

what is the answer for -3(n+6)+10=-8 what would n be?

Answers

Answer:

n = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3(n+6) +10 = -8 distribute the -3

-3n -18 +10 = -8 combine like terms

-3n -8 = -8 add 8 to each side to get the -3n by itself

-3n = 0 divide each side by -3

n = 0

If 5x = -35, then find the value of -28 + 4x

Answers

Answer:

x=-7

Step-by-step explanation:

-28-28=-56

hope it will help you!!!!

mark as brainiest

Which graph shows the solution to the inequality-2 (2ar +3) 26?​

Answers

Answer:

1ST GRAPH

Step-by-step explanation:

1st GRAPH

Because the equation is trying to express:

p is bigger or equal to -1

and in graph no.1 the inequality is at -1 and everything after it could be p. As P is bigger than -1

What is the value of the expression 10z2-2z-2 when z=3?

Answers

Answer:

82 is the value of the expression when z = 3

Step-by-step explanation:

Plug in 3 to the expression.

[tex]10z^{2} -2z - 2\\ 10(3)^{2} - 2(3) - 2[/tex]

Then solve the expression.

90 - 6 - 2 = 82

We got 90 when we squared 3 and multiplied that number (9) by 10, resulting in 90.

Can someone help me please

Answers

Answer:

d is 90, angles on a straight line

e is 147, vertically opp angles

f is 33, any of the above rules.

d=90
e=147
f=45
Look at how d is the same as a squared angle=90
e is the same angle as the one across it which is 147
F is half of a right agle 45

1 2/2 dived by - 1/5

Answers

Answer:

-10

Step-by-step explanation:

1 2/2= 2

2/(-1/5)=(-10)

Answer:

-10

Step-by-step explanation:

1 2/2 / -1/5

2 × 5 / -1/5 × 5

10 / - 1

10 × -1 / -1 × -1

-10 / 1

-10

4/3 x (11/10-1/6)

Help me solve this please.

Answers

the answer is 1.244444444

Answer:

56/45

Step-by-step explanation:

original problem

4/3 x (11/10 - 1/6)

to subtract fraction, we must have a commen denomentator, in this case, it, it would be 30

4/3 x (33/30 - 5/30)

now we can subtract

4/3 x (28/30)

and then multiply

56/45

Matt is purchasing a new tablet computer at a 20% markdown. After the discount is taken, the tablet is subject to a 6% state sales tax. How would you find the total amount Matt must pay after the markdown and tax?
Multiply the original price by 0.86.
First find the 20% markdown price and the tax on the original price, and then add the new price to the tax.
Find the tax, and then take 80% off the tax and the original price.
First find the 20% markdown price and subtract it from the original price. Then find 6% of the discounted price to get the tax. The tax plus the discounted price is the final price.

Answers

Answer:

First find the 20% markdown price and subtract it from the original price. Then find 6% of the discounted price to get the tax. The tax plus the discounted price is the final price.

Step-by-step explanation:

Answer:

its D on Edge

Step-by-step explanation:

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