Joshua invested $750 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 ​ % compounded quarterly. Josiah invested $750 in an account paying an interest rate of 2\tfrac{5}{8}2 8 5 ​ % compounded annually. After 18 years, how much more money would Joshua have in his account than Josiah, to the nearest dollar?

Answers

Answer 1

Answer:

Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.

Step-by-step explanation:

Giving the following information:

Joshua:

Initial investment (PV)= $750

Interest rate (i)= 0.0341/4= 0.008525

Number of periods (n)= 18*4= 72 quarters

Josiah:

Initial investment (PV)= $750

Interest rate (i)= 0.0285

Number of periods (n)= 18 years

To calculate the future value of each one, we need to use the following formula:

FV= PV*(1 + i)^n

Joshua:

FV= 750*(1.008525^72)

FV= $1,381.98

Josiah:

FV= 750*(1.0285^18)

FV= $1,169.74

Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.

Answer 2

Answer:

delta math says answer is 100

Step-by-step explanation:


Related Questions

Jimmy and his friends want to sign up for a game rental service. They have information on game rental plans from four different companies. The friends plan to rent 15 games per month. Which plan is the BEST? Use substitution to determine the best price.

A-GameStop; pay $5 for each game ordered. (5g)
B-Level-up Games; pay $25 to join and $2 for each game ordered (2g + 25)
C-Game Changer; pay $20 to join and $2.50 for each game ordered (2.5g + 20)
D-Game Land; pay $60 per month for unlimited amount of game rentals (60)

Answers

Answer: A

Step-by-step explanation:

It’s the cheapest

Helppp don’t comment random stuff :( thanks

Answers

Answer:

The slope is y=0.59x so 0.59

The y intercept is 0

Answer:

careful of taking pictures of problems. I got warnings and questions deleted when I had the picture of my question since it was violating the code of brainly since it was a different cite. -_-

Step-by-step explanation:

esme takes the bus to university 40 times during a term to relative frequency of the bus being late is 0.3
how many times is the bus late ?

Answers

Answer:

I Don't know....

Step-by-step explanation:

sry.....

Answer: 12

Step-by-step explanation:

So.

40 multiplied by 0.3 is 12 

A study found that there is no direct relationship between the time that 8th grade students spend brushing their teeth and their final math grade for the year. What is the correlation? positive , negative , no correlation

Answers

Answer:

no correlation

Step-by-step explanation:

because the teeth brushing had nothing to do with their grade, it would be no correlation.

PLZZZ HELP ITS DUE AT 1:45

Answers

Answer:

a= 10 b= -13 c= -3

Step-by-step explanation:

First, you multiply 5x+1 and 2x-3

You then end up with 10x^2-13x-3 which is in ax^2+bx+c form

So, a would be 10, b would be -13, and c would be -3.

Help please please help help please help!!!!

Answers

Answer:

14

Explanation:

8.13×10¹⁴

The answer is 14.
Step by step explanation the equation is 8.13*10^14

Are the ratios 4:18 and 2:9 equivalent?
yes
no

Answers

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

Two ratios are given to us and we need to tell whether they are equivalent or not . Firstly let us say we have two ratios q:p and r:s . Here p & q are co-primes and r & s are also co-primes. Then the two ratios will be equal if and only if

q = rp = s .

Theefore , the Ratios are ,

[tex]\begin{cases}\tt 4 : 18 \\\tt 2:9 \end{cases}[/tex]

Here we see that the ratio 2:9 is in simplest form that is HCF of 2 & 9 is 1 . But here 4:18 is not in simplest form . HCF of 4 & 18 is not 1 it's 2 .On dividing numerator and denominator by 2 , we have ,

[tex]\tt= \dfrac{4}{18}\\\\ = \tt \dfrac{4 \div 2}{18\div 2}\\\\ = \boxed{\orange{\tt \dfrac{2}{9}}}[/tex]

Therefore since the Ratios are equal in the simplest form . Therefore the Ratios are equal.

Factor completely 2x^3 + 6x^2 + 10x + 30

Answers

Answer:

The factored expression is 2(x² + 5)(x + 3).

Step-by-step explanation:

Hey there!

We can use a factoring technique referred to as "grouping" to solve this problem.

Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.

Grouping works in the following matter:

Given equation: ax³ + bx² + cx + dGroup a & b, c & d: (ax³ + bx²) + (cx + d)Pull GCFs and factors

Let's apply these steps to the given equation.

Given equation: 2x³ + 6x² + 10x + 30Group a & b, c & d: (2x³ + 6x²) + (10x + 30)Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)

As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.

Now, we use our GCFs to create another factor.

List GCFs: 2x², 10Create a term: (2x² + 10)

Finally, we'll need to simplify this one by taking another GCF, 2.

Pull GCF: 2(x² + 5)

Now that we have this term, we need to understand that this could also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.

Therefore, we have our final factors: 2(x² + 5) and (x + 3).

However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).

a line segment has endpoints P(-1,5)and Q(5,2) find the coordinate of that trisect the segment​

Answers

Answer:

(1, 6).  The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)

Step-by-step explanation:

Moving from P to Q, we see that x increases by 6  and y increases by 3.

"Trisect" means "divide into three equal subintervals."

We find (1/3) of 6 (which comes out to 2) and (1/3) of 3 (which comes out to 1).  

Thus, the first junction (between 1st and 2nd trisection) is (-1 + 2, 5 + 1), or (1, 6).  The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)


What is the maximum percentage of net spendable income that should be set aside for housing? (It’s not 38)
A.25%
B.36%
C.38%
D.28%

Answers

It is 38% cause The maximum percentage of a families net spendable income should have at least 38% set aside for housing expenses.

Answer:

Step-by-step explanation:

It is 38% cause The maximum percentage of a families net spendable income should have at least 38% set aside for housing expenses.

For the right triangle shown, whih equation can be used to find the vaule of x

Answers

Answer:

The answer is b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

The volume of a child's model plane
is 1200cm cube.
The volume of the full size plane is 4050 m cube.
Find the scale of the model in the fom 1:n.​

Answers

Answer:

Is 10B and you get like 1000

Answer:

you get like 1000

805 x 3
sssssssssssssssssss​

Answers

Answer:

2415

Step-by-step explanation:

805 x 3

2415

A cylinder has a base diameter of 10cm and a height of 7cm. What is its volume in cubic cm, to the nearest tenths place?

Answers

Answer:

volume = 549.5 cm³

Step-by-step explanation:

base area m= πr² = (3.14)(5²) = 78.5 cm²

volume = base area x height = 78.5 x 7 = 549.5 cm³

Answer:

549.5 cm3

Step-by-step explanation:

Gale owns a car that is worth $9,500 but she still owes $7,400 on the car loan. She has a student loan in the amount of $6,000 and she has a savings account with a balance of $1500. The balance on her credit card is $3200. What is her net worth?

Answers

Answer:

$8000

Step-by-step explanation:

Given: Car worth = $9,500, car loan = $7,400. Student loan = $6,000, savings account = $1500. The balance on her credit card is $3200.

Formula: Total Assets - Total Liabilities - Intangible Assets = Tangible Net Worth.

To find: Gale's net worth

Solution: You can calculate your net worth by subtracting your liabilities (debts) from your assets.

Firstly, calculate the total amount of assets by adding them together;

Total assets = Car worth + car loan + Student loan + savings account + balance on her credit card =

$9,500 + $7,400 + $6,000 + $3200 =$26,100

Secondly, calculate the Liabilties by adding them together;

Car loan + Student loan =

$7,400 + $6,000 = $13,400

Then, calculate the Intangible Assets by adding them together;

Savings account +  The balance on her credit card =

$1500 + $3200 = $4700

Finally substact the total amounts;

$26,100 - $13,400 - $4700 = $8000

(Note:- If your assets exceed your liabilities, you will have a positive net worth. Conversely, if your liabilities are greater than your assets, you will have a negative net worth.)

What is the best approximation of the length of the radius in a circle with an area of 167 m2?

a. 4.6 meters
b.4.0 meters
c. 2.3 meters
d.5.1 meters

Answers

Answer:

r = 7.3 m

Step-by-step explanation:

A = (pi)(radius)^2, so, if A = 167 m^2, r^2 is found as follows:

       

         167 m^2

r^2 = -------------- = 53.158 m^2

              3.14

Taking the square root of both sides, we get

r = 7.3 m

This is correct, because A = (pi)(radius)^2 becomes (3.14)(7.3 m)^2 = 167.4 m^2

Can someone please help i spendt 30 mins on this one question ?

Answers

Answer:

A

Step-by-step explanation:

To keep things short, use the distance formula to find the distance from each point from (0,0)

Need help for this question asap please

Answers

Answer:

option 4 = 25

Step-by-step explanation:

given= chord js and hL intersects at poimt p

to find = value of x

solution:according to the therom;

if the line extensions of the chordJS and HL INTERSECTS at point K then their lenghts satisfy

JK×KS=HK×KL

10×30=X×12

300=12x

300/12=x

25= x

May someone pls help with this?

Answers

Answer:

p = 308

Step-by-step explanation:

Using the question from above Jenny shape what is the volume of her two cubes combined

Answers

Answer:

14•14•14= 2744

7•7•7= 343

2744+343= 3087

Step-by-step explanation:

all together it should be 3087

sorry if I'm wrong.

Somebody help me out real fast

Answers

I think it’s the last one

Use the GCF to factor: 90u + 80q

Answers

Answer:

10(9u+8q)

Step-by-step explanation:

What is 1/3 of 8 1/4

Answers

Answer:

2.75

Step-by-step explanation:

use a calculator

Hope this helps! :)

One way to divide decimal numbers is to use an equivalent expression.

Complete the statements below to explain one way to find 8.4 ÷ 2.1.

Answers

Answer:

104

Step-by-step explanation:

To determine how much a decimal was multiplied, you need to find how many places the decimal moved.

In this case we can see the decimal moved once. How many times the decimal moved can be represented by the zeros in the number. So 10 = 1

100 = 2     1,000 = 3 and it keeps going.

So since the decimal moved 1 time, the answer to question one is 10

Now question 2.

Both 8.4 ÷ 2.1 and 84 ÷ 21 will give the exact same answer. It is just easier to solve. So solve which one is easier for you. I did 84 ÷ 21.

84 ÷ 21 = 4

We can verify our answer by multiplying the the divisor by the quotient

21 * 4 = 84

So 4 is the answer to question 2


A butcher shop is selling steaks 2 for $7.00. The butcher sells 29 steaks today. How much money did the butcher make selling steaks today?

Answers

Answer:

The butcher made $101.50

Step-by-step explanation:

2 for 7.00

1 steak would be 7.00 divided by 2

7 divided by 2 is 3.5

1 steak is 3.50 dollars

29 steaks in total

29 multiplied by 3.50 is 101.5

cookies cost $2.50, where y represents the total cost of x, number of cookies

a. additive

b. Multiplicative​

Answers

Answer:

Step-by-step explanation:

If the cookies cost $2.50 each, then the total cost of x cookies is

($2.50/cookie)(x), involving multiplication, not addition.

Answer:

Solution :-

According to the question

Equation = y/x

Putting y as $2.50

= (2.50)x

And it's a multiplication

[tex] \\ [/tex]

Haley substituted the values of a, b, and c into the quadratic formula below.

x = StartFraction negative (negative 10) plus or minus StartRoot (negative 10) squared minus 4 (7)(negative 2) EndRoot Over 2(7) EndFraction
What was Haley’s function in standard form?
f(x)=___x2+____x+____​

Answers

Answer:

f(x) =  

7

x2 +  

-10

x +  

-2

Step-by-step explanation:

What is an expression equivalent to 4(2x+7)

Answers

Answer:

1.) 8x+28      2.) 2(4x+14)

Step-by-step explanation:

simplify it by multiplying the 4

or

after simplifying you could divide by 2

option 1 is the best answer

Can Someone Help Me With This I Beg You.​

Answers

Pyramid hope this helps


What is the measure of each angle of an equilateral triangle?
A. O 90°
B. O 45°
C. 60°
D. 30°

Answers

Answer:

C) 60 degrees

Step-by-step explanation:

An equilateral triangle has all equal angles. We know that all the angles of a triangle add up to 180 degrees. Therefore 45+45+45=180 giving you an equilateral triangle angle measure.

The answer is 60 degrees I think!
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