1) James needs to obtain $80,000 for his daughter's future college tuition. He is looking to invest in an
account that pays 3.1% annual interest. The account compounds quarterly. How much money would
James have to invest today so that 15 years from now, he will have the money?

Answers

Answer 1

Answer:

$ 50,340.97

Step-by-step explanation:

From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.

The formula to find Principal in a compound interest question is:

P = A / (1 + r/n)^nt

Where:

A = Total Amount obtained after invested = $80,000

r = Interest rate = 3.1% = 0.031

n = number of times interest in compounded = Quarterly = 4

t = time in years = 15

P = $80,000/(1 + 0.031/4)^4 × 15

P = $80,000/(1 +0.00775)^60

P = $ 50,340.97

Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.


Related Questions

Which point on the number line could represent-25? А вс D 54 -3 -2 -1 0 1 2 3 4 5 А OB ОС OD. I will mark 1 answer brainlist ​

Answers

Answer:

B

Step-by-step explanation:

The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.

Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.

help meeeeeeeeeeeeee​

Answers

Answer:

16

Step-by-step explanation:

Answer: 16

Step-by-step explanation: If we are relating the flour to the cookies it would simply be 48/3. It takes 3 cups of flour to make 48 cookies, so we know that each cup provides 16 cookies.

What is an algebraic expression?

A. the operation between two number or letters

B. letters that represent numbers

C. a branch of mathematics

D. a combination of operations on letters and numbers

Answers

Answer:

d. a combination of operations on letters and numbers

Step-by-step explanation:

b is a variable and c can be all sort of things

Answer:

D. a combination of operations on letters and numbers.

Step-by-step explanation:

A boat traveled 12 miles in 30 min. At this rate, how many miles will the boat travel in 3 hours?

Answers

72 miles in 3 hours.

12 x 6 = 72

What is the measurement of Angle x. please explain​

Answers

the measurement of angle x is 40°. these two triangle are congruent so their sides share the same length and their angles share the same degrees
40 hope this helps !!!

You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether they are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion?
a) Your results are significant; one's willingness to wear masks is not independent of one's age. b)Your results are significant; one's willingness to wear masks is independent of one's age.
c)Your results are not significant; one's willingness to wear masks is independent of one's age.
d) Your results are not significant; one's willingness to wear masks is not independent of one's age.​

Answers

Answer:

The statistical conclusion is:

a) Your results are significant; one's willingness to wear masks is not independent of one's age.

Step-by-step explanation:

From this experiment,

The null hypothesis is established as:

H 0 = one's willingness to wear masks is independent of one's age.

The alternate hypothesis is established as:

H 1 = one's willingness to wear masks is not independent of one's age.

In statistics, if the absolute value of the test statistic is greater than the critical value, we declare statistical significance and reject the null hypothesis.

Since the test statistic = 16.5, which is higher than the critical value of 7.82, this establishes statistical significance.  Thus, the null hypothesis is rejected.

Therefore, the statistical conclusion is that one's willingness to wear masks is not independent of one's age.

peter and jane have $90 together if peter gave jane $16 he would have $14less than jane how much does peter originally have​

Answers

Answer:

peter = $54

jane = $36

Step-by-step explanation:

let peter = x

let jane = y

peter + jane = $90

x+y = 90 --------- (1)

peter gave jane $16 = x-16

jane gets extra $16 from peter = y+16

peter would have $14 less than jane

jane - peter = $14

(y+16)-(x-16) = 14

y+16-x+16 = 14

y-x+32 = 14

y-x = 14-32

y-x = -18 ---------- (2)

x+y = 90 --------- (1)

y-x = -18 --------- (2)

from (1)

x+y = 90

y = 90-x --------- (3)

substitute (3) into (2)

y-x = -18

90-x-x = -18

90-2x = -18

-2x = -18-90

-2x = -108

x = 54

substitute x = 54 into (3)

y = 90-x

y = 90-54

y = 36

x = peter = $54

y = jane = $36

pls pls pls pls help ​

Answers

Answer:

im guessing it says they give $5 to the father

if that is the case then the answer is c

Step-by-step explanation:

I NEED HELP ASAP PLZ

Answers

first one

Step-by-step explanation:

Answer:

1/2 is the answer

Step-by-step explanation:

Choose yes or no to tell wether the fraction and percent are equivalent

Answers

Answer:

1. No

2. Yes

3. No

4. Yes

Answer:

1. No 40/1000 = 4%

2. Yes

3. No 50/33 = 66%

4. Yes

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

WILL GIVE BRAINLIEST :)

Answers

Answer:

c

Step-by-step explanation:

it would have some exponent but its the only one that is constant

function or not a function​

Answers

Answer:

That isn't a function because the ratio of those numbers doesn't equal.

Step-by-step explanation:

which of these number lines represents the difference -3-2​

Answers

Answer:

Number line D

Step-by-step explanation:

That line goes from 0 to -3 and subtracts 2, as the equation shows.

if anybody can answer this quickly; please do!

Answers

Answer:

The answer is D

Step-by-step explanation:

I would give an explanation but it would take to long. The original answer is 21, there is no other equation that equals 21.

Hello I will give BRAINLIEST to whoever answers:)

Answers

The person above is correct

Answer: 4.5

Reason: the girl was 1 meter in the water, but she didn’t go back up, she instead dived deeper 3.5 meters.

Mathematical way of putti by this is

1 + 3.5 = 4.5

Hope this helps

I NEED AN ANSWER QUICK! What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer. (And PLEASE show work)

Answers

Answer:

210 cm²

Step-by-step explanation:

Area of the surface having dimensions 6 cm × 11 cm

[tex]A_1[/tex] = 11 × 6 = 66 cm²

Area of the surface having dimensions 3 cm × 6 cm

[tex]A_2[/tex] = 3 × 6 = 18 cm²

Area of the surface having dimensions 7 cm × 6 cm

[tex]A_3[/tex] = 7 × 6 = 42 cm²

Area of the surface having dimensions 5 cm × 6 cm

[tex]A_4[/tex] = 5 × 6 = 30 cm²

Area of the trapezoidal surface on the top = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

[tex]A_5[/tex] = [tex]\frac{1}{2}(11+7)3[/tex]

    = 27 cm²

Area of the trapezoidal base [tex]A_6[/tex] = Area of the surface on the top = 27 cm²

Total surface area = [tex]A_1+A_2+A_3+A_4+A_5+A_6=66+18+42+30+27 + 27[/tex]

                                               = 210 cm²

Therefore, total surface area of the trapezoidal prism = 210 cm²

The sum of 7 ⅓ and a number, n is 10 ⅜. What is the number?

Answers

Answer:

3 1/24

Step-by-step explanation:

to find the answer subtract ( 10 3/8 - 7 1/3 = 3 1/24 ).

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[tex]7 \frac{1}{3} + n = 10 \frac{3}{8} \\ [/tex]

[tex] \frac{21 + 1}{3} + n = \frac{80 + 3}{8} \\ [/tex]

[tex] \frac{22}{3} + n = \frac{83}{8} \\ [/tex]

Subtract sides 22 / 3

[tex] - \frac{22}{3} + \frac{22}{3} + n = - \frac{22}{3} + \frac{83}{8} \\ [/tex]

[tex]n = \frac{83}{8} - \frac{22}{3} \\ [/tex]

[tex]n = \frac{83 \times 3}{8 \times 3} - \frac{22 \times 8}{3 \times 8} \\ [/tex]

[tex]n = \frac{249}{24} - \frac{176}{24} \\ [/tex]

[tex]n = \frac{249 - 176}{24} \\ [/tex]

[tex]n = \frac{73}{24} \\ [/tex]

[tex]n = \frac{72 + 1}{24} \\ [/tex]

[tex]n = 3 \frac{1}{24} \\ [/tex]

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Since I’m kinda slow I need help on this please

Answers

Answer:

when x=5, y=20

when x=3, y=12

when x=4, y=16

I hope that helps you!! :)

2. 11d = 121
What is the algebraic equations

Answers

The answer that i got is d=1

Write the equation in slope-intercept form that represents the line shown.

Answers

i think the answer is y=-1/5x-4 but i’m not sure......

.
- 7(6 + d) = 49
Need help

Answers

Answer:

d=-13

Step-by-step explanation:

Let's solve your equation step-by-step.

−7(6+d)=49

Step 1: Simplify both sides of the equation.

−7(6+d)=49

(−7)(6)+(−7)(d)=49(Distribute)

−42+−7d=49

−7d−42=49

Step 2: Add 42 to both sides.

−7d−42+42=49+42

−7d=91

Step 3: Divide both sides by -7.

−7d−7=91−7

d=−13

Hope this helps have an amazing day :))

f(x) = 4x4-3x3–2x2-5 possible zeros

Answers

Answer:

f(x)= 1 correct me if wrong :)

Step-by-step explanation:

4 times 4 is 18

3 times 3 is 9

18-9=8

2 times 2 is 4

8-4=4

4-5=1

How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths

Answers

Answer:

I think it’s is into fifths if I’m correct

Step-by-step explanation:

1. What is 4 to the power of 2 ?
2. What is 2 to the power of 4 ?
3. What is 8 to the power of 2 ?
4. What is 2 to the power of 8 ?​

Answers

1. 16
2. 16
3. 64
4. 256

4²= 16

Work - 4 x 4 = 16

2⁴= 16

Work - 2 x 2 x 2 x 2 = 16

8²= 64

Work - 8 x 8 = 64

2⁸= 256

Work - 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2= 256

Please answer this as quick as you can

Answers

Answer:

Step-by-step explanation:

3 and 2 for what i see with the question  i don't know  if the blue is blocking a tick but i think its 2 and 3 tell me if there  a tick on where the blue started so then i might change my answer

What is the y-intercept of the graph of 4y = 2x + 8?
4
2
6
00
N

Answers

Answer:

2

Step-by-step explanation:

4y = 2x + 8

First get the equation in slope intercept form  y= mx+b where m is the slope and b is the y intercept

Divide each side by 4

4y/4 = 2x/4 +8/4

y = 1/2x +2

The slope is 1/2 and the y intercept is 2

Answer:

2

Step-by-step explanation:

Manipulate your equation into slope-intercept form: y = mx + b, where b is the y-intercept.

To do this, divide 4 from both sides:

[tex]y=\frac{1}{2} x+2[/tex]

b = 2

Solve the system using substitution.
y - 3x = 1
2y - x = 12
([?], [])

Answers

Answer:

(2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y - 3x = 1

2y - x = 12

Step 2: Rewrite Systems

y - 3x = 1

Add 3x on both sides:                    y = 3x + 1

Step 3: Redefine Systems

y = 3x + 1

2y - x = 12

Step 4: Solve for x

Substitution

Substitute in y:                    2(3x + 1) - x = 12Distribute 2:                         6x + 2 - x = 12Combine like terms:           5x + 2 = 12Isolate x term:                     5x = 10Isolate x:                              x = 2

Step 5: Solve for y

Define equation:                    2y - x = 12Substitute in x:                       2y - 2 = 12Isolate y term:                        2y = 10Isolate y:                                 y = 5

If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?

Answers

Answer:

7040 Yards

Step-by-step explanation:

First, you have to divide 5280 by 3, to get 1760 yards

Then you have to multiply 1760 by 4

Finally, you should get the answer of 7040 yards :D

Answer:

The other person who answered it already explained it but the answer is 7,040

Step-by-step explanation:

Find the quotient in their exponential form.
a) (8/27)power 5 ÷ (2/3)power 7
The first person who do this numerical i will give him 25 stars and rank the brainliest plz guys tell fast its urgent for me​

Answers

Answer:

0.609663161

Step-by-step explanation:

(8/27)power5 = 5.57533755

(2/3)power7= 9.14494717

then, u just devide... from what i know

Answer:

It is 0.609663161

Step-by-step explanation:

Hope this helped have an amazing day!

25 points question is below

Answers

Answer:

x - 5y = 30

Step-by-step explanation:

If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway

good answer also makes a lot of sense you are correct
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