How long will it take for a $5000 investment to grow to $ 7945 at an annual rate of 8.6%, compounded semiannually? Assume
that no withdrawals are made.
Do not round any intermediate computations, and round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

5.5 years

Step-by-step explanation:

Compound interest formula:

[tex]AV=PV(1+\frac{i}{n})^{n*t}\\7945=5000(1+\frac{.086}{2})^{2t}\\1.589=1.043^{2t}\\log_{1.043}1.589=2t\\10.9998=2t\\5.5=t[/tex]


Related Questions

Please help, its very urgent.

A sequence can be generated by using an=13an−1, where n is a whole number greater than or equal to 1.

Given a11=6, what is a12?


2

4

18

72

Answers

Answer:

Given

aₙ = 1/3 aₙ₋₁

If a₁₁ = 6, then

a₁₂ = 1/3 a₁₁ = 1/3(6) = 2

Correct choice is A

find the surface area of a prism with the length of 6m a width of 2m and a height of 10m.

Answers

Answer: Surface Area= 184 m²

Step-by-step explanation:

Concept

The formula for the surface area of a prism: SA=2(wh+wl+hl)

Given

Width (w) = 2 m

Length (l) = 6 m

Height (h) = 10 m

Solve

SA=2(wh+wl+hl)

SA=2(2×6+2×10+6×10)

SA=2(12+20+60)

SA=2×92

SA=184 m²

Hope this helps!! :)

Please let me know if you have any quesitons

Help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think the answer would be −329/8 or −41.125 .

Step-by-step explanation:

Hope this helped .

Please help with test offering big points pt 3

Answers

Answer:

25

Step-by-step explanation:

because if you do 1000 divided buy 25 its 69420 so if you do 69420 divided by 69420 its 1 and 1x1000 its 1000 divided by 54 its 25 so its 25

Pls I need help as soon as possible

Answers

Answer:

9.b 10.32 11.6 12.11

Step-by-step explanation:

9=a.Most students read 12 books

c.8.6 was then averaged.

d.there's a 16 book

10. highest number minus lowest number (54-22)

11. there's 16, 15,13,12,9,8

12. the median was just middle in box plot where the line is

Kyla makes 56 cups of soup how many 1 3/4 cup's servings does she has

Answers

56/1.75=32

She has 32 servings. Please mark as brainliest. :)

my life is hellpless.... could you please help? i cant even understand this I'm only 11.

Answers

Answer:

y-intercept: -4

slope: 2

equation: y = -4x + 2

Answer:

Y-intercept: -4

Slope: 2

Equation: y = 2x - 4

4 + 6^2 + 9x3-10
Help plz

Answers

Answer:

57

Step-by-step explanation:

Answer:

9x^3+30

Step-by-step explanation:

Im not sure if you wanted to simplify because you werent specific but I simplified

Brendan wants to find the area of the cover for a hotel pool. The cover is only on the surface of the water.


What is the area of the pool cover?

Answers

I think it might be 730

What addition statement does this show?

A. -3.4 + 5.7 = -9.1
B. -3.4 + (-5.7) = -9.1
C. 3.4 + (-5.7) = -9.1
D. 3.4 + 5.7 = -9.1

Answers

B. -3.4 + (-5.7)= -9.1

Answer:

B

Step-by-step explanation:

Jesse collects data on his math scores on the last 12 tests and the number of hours he spent completing his math homework assignments and studying in the week before every test. He creates a scatter plot to show the data. The regression line shown on the graph best models the data on the scatter plot.

Based on the given model, how many hours in the week before the test does Jesse need to study to get a score of 90 on the test? Round your answer to the nearest hour.

Answers

Answer:

24 hours

Step-by-step explanation:

Using the two points on the regression line, let's find its equation.

Points:

(0, 30) and (8, 50)

The slope:

(50 - 30)/8 = 2.5

The y-intercept is

30

The equation:

y = 2.5x + 30

Solve for x if y = 90

90 = 2.5x + 302.5x = 60x = 60/2.5x = 24

The answer is 24 hours

HELP I WILL CHOOSE BRAINLIST

Answers

Answer:

I feel like its C or B

Step-by-step explanation:

hello ❤
can someone pls answer this question
(4 × raise to 3 ) raise to 2 ​

Answers

Answer:

[tex](4 {x}^{3})^{2} \\ = 4 ^{2} (x ^{3} )^{2} \\ = 16 ({x ^{3} )}^{2} \\ = {16x}^{3 \times 2} \\ = 16x ^{6} \\ \\ \infty \infty \infty \infty \infty \infty \infty \infty [/tex]

Homes appreciate 8% every year. What is the multiplier?

Answers

Answer:

1.08

Step-by-step explanation:

Home appreciates 8% every year. Since 8% is increased every year , therefore 1 + 8/100 will be multiplied to the initial cost every year .

Hence the multiplier is 1.08 .

Parallelogram PQRS has diagonals that are perpendicular. Based on that, which statement is most correct?

A- Parallelogram PQRS is also a rectangle

B- Parallelogram PQRS is also a rhombus.

C- Parallelogram PQRS is neither a rectangle nor a rhombus.

D- Parallelogram PQRS is both a rectangle and a rhombus, so it is a square.

Answers

Answer:

B- Parallelogram PQRS is also a rhombus.

Step-by-step explanation:

Given

Parallelogram PQRS with perpendicular diagonals

Required

Which of the option is true

(a) PQRS can be a rectangle

A rectangle do not have perpendicular diagonals.

Hence, (a) is false

If (a) is false, then (d) is also false

(b) PQRS can a rhombus

The diagonals of a rhombus are not perpendicular.

So (b) is true

No need to check for (c), since only option is true

Answer:

B- Parallelogram PQRS is also a rhombus.

Step-by-step explanation:

Hope this helps

Can anyone help me I’ll mark ya Brainly

Answers

Answer:

1/6

Step-by-step explanation:

Ezra uses his bank card to buy gasoline for his car 3 times. Each time he buys gasoline, it costs $18.50. He then deposits $50 in his bank account. What is the change in his bank account balance in dollars as a result of these transactions?

Answers

his bank account lost $5.50

Step-by-step explanation:

he bought gasoline three times which comes out to -$55.50 and then he adds$50 to his account which brings it to overall $5.50 lost

What would u say if ur math teacher asks u this?!

Answers

Answer:

undecided

Step-by-step explanation:

i would choose undecided

NO LINKS PLS HELP THIS IS DUE RIGHT NOW

Answers

Answer:

AC = 13 units

Step-by-step explanation:

A(0 , -4) ;   c(5 , 8)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

              [tex]= \sqrt{(5-0)^{2}+(8-[-4] )^{2}} \\\\\\= \sqrt{5^{2}+(8+4)^{2}} \\\\\\=\sqrt{5^{2}+12^{2}}\\\\= \sqrt{25 + 144}\\\\= \sqrt{169} = 13 \\\\\\[/tex]

Write the standard equation of the circle if the center is (-1,2), and a point on the circle is (2,6).

Plzzzzz helpppp me​

Answers

Answer:

(x + 1)² + (y - 2)² = 25

Step-by-step explanation:

The center is given:

(-1, 2)

Find the radius, the distance from the center to a point (2, 6)

r² = (2 - (-1))² + (6 - 2)² = 3² + 4² = 25r = √25 = 5

Use circle formula:

(x - h)² + (y - k)² = r²(x - (-1))² + (y - 2)² = 5²(x + 1)² + (y - 2)² = 25

Find the intercept and slope in the graph, and find the aquation for the function.

Answers

Answer:

Slope  = 3

y intercept = -8

y = 3x  - 8

Step-by-step explanation:

From the table shown, we can make use of the coordinate points

(0, -8) and (1, -5)

Slope m = y2-y1/x2-x1

m = -5-(-8)/1-0

m = -5+8/1-0

m = 3/1

m = 3

Slope  = 3

The standard form of an equation is y = mx+b

b is the y intercept

Substitute m = 3 and (0, -8) into y = mx+b

-8 = 3(0) + b

-8 = b

b = -8

Hence y intercept is -8

Get the required equation

Recall that y = mx+b

y = 3x + (-8)

y = 3x  - 8

This gives the required equation

Find the measure of the indicated arc

Answers

Answer:

200 degrees.

Step-by-step explanation:

By theorem of inscribed angle...

The measure of an inscribed angle is half the measure of the intercepted arc. [Theorem]

therefore, m(angle J) = half of m(arc CDE)

therefore, m(arc CDE) = 2 * m(angle J)

therefore, m(arc CDE) = 2 ( 100)

therefore, m(arc CDE) = 200 degrees.

A washer and a dryer cost $726 combined. The washer costs $76 more than the dryer. What is the cost of the dryer?

Answers

Answer:Cost of dryer=$325

Step-by-step explanation:

Let the dryer  be represented as  x

and the washer be x+76

such that the price of both can be written as  

dryer + washer=$726

x + x+76=726

2x+76=726

2x=726-76

2x=650

x=650/2=325

Cost of dryer =x=$325

Evaluate the expressions for when x=-1, y=3, z=-2

z²+x²-y and x²y²z²

Answers

Step-by-step explanation:

z² +x² - y= -2²+ -1² - 3

4+ 1 - 3= 2

x²y²z²= -1²× 3²× -2²

1× 9× 4= 36

help with this question please

Answers

Answer

hi

Step-by-step explanation:

what is the area of rectangle PQRS with vertices at P(0,2), Q(0,10), R(4,10), and S(4,2)?​

Answers

It’s 4,2 the and the other on PQRS

156.43 - 42.1

EXPLAIN HOW YOU GOT IT AND ILL MARK BRAINLIEST!

Answers

Answer:

Your answer is 114.33

Step-by-step explanation:

How I got the answer was

156.43

- 42.1

————-

114.33

It is easy subtraction don’t let decimals fool you!

For a easier way take out the dot in the decimal and put it in after when you got the answer!

Have a nice day! And thank you for this question! :)

Brainlest is always appreciated! :)

can you please help meeeeeeee

Answers

Answer:

No, No, No, Yes, Yes, Yes

Cory owes $1,000 to his bank. During the time of his loan, he is charged a rate of 12% simple annual interest. If he does not make any payments on his loan, which table shows the relationship between the amount he owes and the number of months?
A.
Balance Due Number of Months
$1,036 3
$1,084 7
$1,120 10
B.
Balance Due Number of Months
$1,020 2
$1,050 5
$1,090 9
C.
Balance Due Number of Months
$1,004.80 4
$1,009.60 8
$1,013.20 11
D.
Balance Due Number of Months
$1,005 5
$1,007 7
$1,012 12

Answers

Answer:

The answer is B

Step-by-step explanation:

Given: Cory owes $1,000 to his bank. During the time of his loan, he is charged a real of 12% simple annual interest

To find: If he does not make any payments on his loan,  draw table showing the relationship between the amount he owes and the number of months

Solution:

Loan amount P = $ 1000

Rate of interest R  = 12 % per annum

SI = P * R * T /100

one month  T = (1/12) Years

Interest per month =  1000 * 12 * (1/12) /100  =  $ 10

Hence interest chaarges $ 10 per month

Cory owes to bank the loan amount and interest

Cory owes = 1000 +  10 n

where n is the number of months

Month                 Amount

  0                         1000

  1                           1010

  2                         1020

  3                          1030

   4                          1040

   5                           1050

   6                            1060

    7                            1070

     8                            1080

      9                            1090

and so on

HELP!!! answer quickly pls

Answers

Answer:

I believe it is (-6, 6)

Step-by-step explanation:

Hope this helps!

p.s. could I get brainliest if possible (I only need one more for the next category or whatever)

Answer:

Would be the last one (-6,6)

Step by step explanation:

Point P is at (-2,3) and you have to do a translation of (x-4 , y+3)

So the. Just do -2-4 that would give u -6 and then 3+3 which would be 6 so your final answer would be (-6,6)

Hope this helps!!
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