If you deposit $5000 into an account paying 8.25% annual interest compounded
semiannually, how long until there is $9350 in the account?

Answers

Answer 1

Answer:

2 t

2 t

2 t

2 t

0.0825 9350 5000 1

2

9350 5000(1.04125)

1.87 1.04125

log(1.87) log(1.04125 )

log1.87 (2t)(log1.04125)

log1.87 2t

log1.04125

15.48512579 2t

t 7.7

Step-by-step explanation:

the answer is 7.7

Answer 2

there will be $9350 in the account after 7 years and 9 months.

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, is the formula for compound interest.

Given, If you deposit $5000 into an account paying 8.25% annual interest compounded semiannually.

To calculate time until there is $9350 in the account.

So,

From the general formula of Compound interest:

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

where P is the principal balance,

r is the interest rate,

n is the number of times interest is compounded annually,

and t is the number of years,

In our case,

A = 9350

p = 5000

r = 8.25

n = 2

Thus,

9350 = 5000(1 + 8.25/2%)^2*t

(1 + 8.25/2%)^2*t = 9350/5000

t = 7 years 9 months

Therefore, there will be $9350 in the account after 7 years and 9 months.

Learn more about compound interest here:

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Related Questions

HURRY: 20 POINTS TO THE WINNER

Answers

Answer:

1 gallon

Step-by-step explanation:

7/8 + 3/8 + 4/8 = 1 6/8

3/8 + 1/8 + 2/8 = 6/8

1 6/8 - 6/8 = 1

Answer:

Chocolate Sauce: 4/8

Strawberry Sauce: 2/8

Caramel Sauce: 2/8

Chocolate Sauce

Monday, the shop had 7/8, the shop used 3/8 on Tuesday. So we subtract the numerators but the denominator stays the same.

7 - 3 = 4

So it is 4/8

Same thing for Strawberry and Caramel Sauce.

So we add the totals we got from subtracting Monday amount of toppings with Tuesday's amount of toppings.

4/8 + 2/8 + 2/8 =

1 gallon

**I hope this helped! :)

How tall is the tree?
hm
0.45 m
0.3 m
2.2 m
?

Answers

3.3m
find the scale factor by dividing 2.2 by 0.3 to get 7.33 and multiply this by 0.45 to get h which is 3.3m

What is m/5+9=11? please answer because this is for tomorrow

Answers

Answer:

idek but i get free points hehe

Step-by-step explanation:

What is the solution to the equation 2(x+7)=-4x+14

Answers

Answer:

x = 0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x+7)=−4x+14

(2)(x)+(2)(7)=−4x+14(Distribute)

2x+14=−4x+14

Step 2: Add 4x to both sides.

2x+14+4x=−4x+14+4x

6x+14=14

Step 3: Subtract 14 from both sides.

6x+14−14=14−14

6x=0

Step 4: Divide both sides by 6.

6x  0

6  = 6

x=0

Solve the inequality.

[tex]$-9.1\ \textless \ d-6.3$[/tex]

Answers

Answer:

d>-2.8

Step-by-step explanation:

-9.1<d-6.3  Add 6.3 on both sides of the inequality to isolate d.

+6.3  +6.3

-2.8<d or d>-2.8

Hope this helps you out and have an amazing day ^^

HELP PLESE GET IT RIGHT

Answers

Answer:

7/24

Step-by-step explanation:

this is a very simple problem, you just multiply the fraction by 1/2 to get 7/24

Answer:

0.2916 ; 7/24

Step-by-step explanation:

It's division what is so hard

The cost of 5 chairs is Rs 3750.
(i) Find the cost of 1 chair and 12 chairs.
(ii) How many chairs can be purchased for Rs 6000?​

Answers

Answer:

750

9000

8

kdkfnfnc

fmfk

fjdj

d

Answer:

(I) Cost of 1 chair = Rs 750

12 chairs=Rs 9000

(II) 8 chairs

Order the numbers from least to greatest.

0.70, 0.701, 0.71, 0.078

Answers

Answer:

0.078,0.70,0.701,0.71

Answer:

0.70 0.71 0.701 0.078

Step-by-step explanation:

this is a kids question haha but here

Two coaches each buy 1 soccer ball for $12 and 4 cones. Each cone costs the same amount.
Together the coaches spend $40. How much does each cone cost?
( write an equation to model the situation. Then solve for x)

Answers

Answer:

x=16

Step-by-step explanation:

1 soccer ball =$12

2 makes $24.

24+16=40

so both coaches spend 8 bucks for 4 cones

Each cone costs $2, and the cost is calculated as follows: 8x = 40 - 2 *p, where p is equal to the cost of a football.

What is a Linear equation?

A linear equation is an algebraic equation of the form ax + by +c, is and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given that, Two coaches each buy 1 soccer ball for $12 and 4 cones. Each cone costs the same amount. Together the coaches spend $40.

Let x be the number price of the cone.

Thus each coach spends  = 4x  +12

Thus, in total, they spend = 40

4x  +12 +  4x  +12 = 40

8x = 40 -24

8x = 16

x = 2

Therefore, Each cone costs $2 and the equation for calculating the price of the cone is: 8x = 40 - 2 * the price of a football.

Learn more about Linear equations here:

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A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?

Answers

Step-by-step explanation:

(3.1415 * 10^2) area of base

(17) height

volume = area of base * height

volume = 3.1415 * 10^2 * 17

The volume of the cylinder is 533.8 cubic inches to the nearest tenths place

Volume of Cylinder based problem:

What information do we have?

Diameter of cylinder = 20 inch

Height of cylinder = 17 inch

Volume of Cylinder = πr²h

Volume of Cylinder = (3.14)(20/2)²(17)

Volume of Cylinder = (3.14)(10)(17)

Find out more information about 'Cylinder'.

https://brainly.com/question/3216899?referrer=searchResults

Brainiest for whoever can answer this correctly please helppp

Answers

Answer:

positive

Step-by-step explanation:

Answer:

Negative.

Step-by-step explanation:

I know its negative but i sont knw the other answers

Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than .

Answers

Answer:

x<23

Step-by-step explanation:

Find the diagram attached

Perimeter of the rectangle = 2(L+W)

L is the length

W is the width

Given

L = x

W = x+4

If the perimeter of the rectangle is less than 100, then;

P < 100

2(x+x+4)<100

2(2x+4)<100

4x+8<100

4x<100-8

4x<92

x<92/4

x<23

Hence the required solution is x<23

What is the y intercept of y=6x+3

Answers

Answer:

y = 6 x − 3

Step-by-step explanation:

The slope-intercept form is  y = m x + b , where  m  is the slope and  b  is the y-intercept.

y = m x + b

Using the slope-intercept form, the y-intercept is  − 3 .

b = − 3

Answer:  

-3

Explanation:

I remember the formula to be y=mx+b, and mx representing the slope times x.  Therefore, b would equal the y-intercept, or in this case 3.  Using slope intercept form, you get -3.    

Simplify the following expression. 3(2x + 7)

Answers

Answer:

6x+21

Step-by-step explanation:

3(2x+7)

3 multiply both 2x and 7

6x+21

hope it's helpful ❤❤❤❤❤

THANK YOU.

Mary bought an antique chair for $500. If the value of her chair increases 6% annually, what will the value of Mary's chair be at the end of 3 years, to the nearest dollar?

Answers

Answer: multiply then simlify if needed

Step-by-step explanation:

Answer: its 590

Step-by-step explanation:

500 x 6%= 30 30 x 3=90 500+90=590

The diagram shows a convex polygon, what is the value of t?

Answers

Sum of the interior angles of a pentagon is 720 degrees. Sum of two angles that form a bisected line is 180 degrees. So interior angles going clockwise are 138 degrees. 128 degrees. 119 degrees. 180- 2*t degrees. And 180 - 3*t degrees. So sum of angles is:
138+128+119+(180 - 2*t) + (180 - 3*t) = 720

25 = 5*t

t = 5 degrees.

What is the area, in square meters, of the circle? Use 3.14 for π. Round your answer to the nearest tenth.

Answers

Answer: See explanation

Step-by-step explanation:

You didn't give any figures but let me try and help out.

The area of a circle is given as:

= πr²

Let's say we have radius as 8m, the are will be:

= πr²

= 3.14 × 8²

= 3.14 × 64

= 200.96m²

Can anyone solve this plz

Answers

Answer:

5040.

Step-by-step explanation:

all you have to do is, multiply.

14 × 5 × 8 × 9

= 5040

I think the bottom number is 9.

so hope it helps.

y = 3(x+ 4)^2+ 4 plz find the vertex and whether the graph has a minimum or maximum point
Plz i need it now I will give you brainiest

Answers

Answer:

look at the screenshot hun!!

Step-by-step explanation:

what is the value of u?

Answers

Answer:

26.91 for u

Step-by-step explanation:

360-37/12=u

solve please will give brainliest

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Feasible region = number 6

Boundary line = number 2

Constraint = number 4

Linear inequality = number 1

half plane = number 3

System of linear inequalities = number 5

answer this question! i’ll give brainliest

Answers

Answer:

Step-by-step explanation:

A

the correct answer is option C

Because if u simplify the 13/3 it would be 4 1/3 and 1/3 is larger than 1/5

I need number 2 answer plz.

Answers

Answer:

19/18x+-5/2

I did this in class and we went over it as well :)

Step by step:

Distribute: 2x/3+-1/9x+1/2x+-5/2

2/3x+-1/9x+1/2x+-5/2

Combine Like Terms: (2/3x+-1/9x+1/2x)+(-5/2)

Answer: 19/18x+-5/2

Help and get brainliest!

Answers

Answer:

I think it's either A or D

Step-by-step explanation:

please help i dont understand this

Answers

Answer:

It is the same-side interior angle of B which is the vertical angle of 100 (?)

Step-by-step explanation:

I NEED TO PASS!!

Use the information to answer the following question.

A rectangular garden has a length that is 3 feet longer than its width. Let w represent the width of the garden in feet. The entire garden is surrounded by a 2-foot-wide cement walkway.

What does the algebraic expression (w + 4)(w + 7) represent in this context?

A. the perimeter of the walkway only

B. the area of the garden only

C. the perimeter of the garden only

D. the total area of the garden and walkway

Answers

Answer:

D. the total area of the garden and walkway

Step-by-step explanation:

Sides of the rectangular garden:

w and w + 3

Add the width of the walkway, 2 feet from both sides, the total of 4 feet:

w + 4 and w + 7

The product of the above is the area of the garden and the walkway

Correct option is D

Answer:

D. the total area of the garden and walkway

Step-by-step explanation:

Sides of the rectangular garden:

w and w + 3

Add the width of the walkway, 2 feet from both sides, the total of 4 feet:

w + 4 and w + 7

The product of the above is the area of the garden and the walkway

Correct option is D

Hope this helps!

Draw the graph of y=2x – 1 for values of x from -2 to 3.


Answers

Answer:

x=-2 y= -5

x=-1 y=-3

x=0 y=-1

x=1 y=1

x=2 y=3

x=3 y=5

Step-by-step explanation:

When interpreting graphs from real-world situations, what can the slope tell you about the situation?

Answers

When interpreting graphs of real world situations, the slope of each part tell you the average rate of change (increase or decrease) of the dependent variable with respect to the independent variable. This is, how much the dependent variable increased (or decrease) per each unit the independent varaible increased, in average.

slope = change in independent variable / change in dependent variable

slope = Δy / Δx

Increase or decrease of the dependent variable

the value of x so the ratios are equivalent: 4 to 5 and x to 20.​

Answers

Answer:

x=16

Step-by-step explanation:

If (a+b)(a-b)=21,a+b=7 and a-b=3 what Is the value of a

Answers

9514 1404 393

Answer:

  5

Step-by-step explanation:

Add the latter two equations and you get ...

  (a +b) +(a -b) = (7) +(3)

  2a = 10 . . . . . . . . . . . . . . . simplify

  a = 5 . . . . . . . divide by 2

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