You deposit $650 in a savings account. How long does it take an account with an annual interest rate of 5% to earn $178.25 in interest? Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

about 5 years 6 months

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

t = 178.25 / ( 650 × 0.05 ) = 5.4846

t = 5.4846 years

The time required to

accumulate simple interest of $ 178.25

from a principal of $ 650.00

at an interest rate of 5% per year

is 5.4846 years (about 5 years 6 months).


Related Questions

1.Give an example of an irrational square root.

2.Which whole numbers does it fall between? Explain how you found the integers.

3.Which integer is the irrational square root closer to? Explain why.
90 POINTS!!

Answers

1) [tex]\sqrt{65}[/tex]

2) 8 and 9 because [tex]8=\sqrt{64}[/tex] and [tex]9=\sqrt{81}[/tex], and 65 is between 64 and 81

3) 8 because 65 is much closer to 64 than it is to 81

A survey of 285 adults found that during the last year, 75 traveled by plane but not by train, 55 traveled by train but not by plane, 30 traveled by bus but not by plane or by train, 70 traveled by bus and plane, 35 traveled by all three, and 215 traveled by plane or train. How many did not travel by any of these modes of transportation

Answers

Answer:

40

Step-by-step explanation:

Given that

Total number of adults, U = 285

Number of plane travellers, P = 75

Number of train travellers, T = 55

To find the number of people that didn't travel by any means of transportation listed in the question, then we say

Total number of adults minus number people who traveled by plane or train minus number of people who traveled by bus but not by plane or train.

This means that number of people who didn't travel by any of the three means of transportation, N =

N = U - pt - b

N = 285 - 215 - 30

N = 40

Therefore, the total number needed is 40

How many square feet of outdoor carpet will we need for this hole

Answers

Answer:

40 ft²

Step-by-step explanation:

The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle

✔️Area of triangle 1:

Area = ½*bh

b = 6 - 3 = 3 ft

h = 11 - 7 = 4 ft

Area of triangle 1 = ½*3*4 = 6 ft²

✔️Area of triangle 2:

Area = ½*by

b = 2 ft

h = 3 ft

Area of triangle 2 = ½*2*3 = 3 ft

✔️Area of rectangle = L × W

L = 11 ft

W = 3 ft

Area of rectangle = 11 × 3 = 33 ft

✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²

Use the scatter plot of car resale values to answer the following question
Car Resale Values
100

Answers

Lol lolz referred as in pennies lol

A plumber charges $65 for a service call, plus $32 per hour of service. If he charged Mr. Jackson $257, how many hours did we work? Write an equation that represents the situation. Then, find how many hours he worked.

Answers

257= 32x+65 he worked 6 hours
Equation: 65+32x=257
(65-65)+32x=257-65
32x=192
32x/32=192/32
X=6
He worked 6 hours

Use long division to write 4/5 as a decimal number


15 points please explain

Answers

Answer:

.8

Step-by-step explanation:

divide 4 by 5 = .8 why? cuz...

To convert a fraction into a decimal, divide the top of the fraction (numerator) by the bottom of the fraction (denominator). In this case, the fraction is 4/5, so divide 4 by 5 . This equals 0.8 .

to make it more simple 4 goes into 5 once so:

1 For the denominator, recognize that 5 x 20 = 100

Multiple = 20

2 Multiply both the numerator and denominator by the multiple 20.

5×20

4×20

3 Simplify.

80

100

4 Simplify.

0.8

Im happy to help with these kind of problems :D!

The solution of fraction 4/5 as a decimal number would be 0.80.

Used the concept of division method that states,

The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.

Given that,

Use long division to write 4/5 as a decimal number.

Now divide the numbers as shown in the image.

That is,

4/5

= 0.80

Therefore, the solution is 0.80.

To learn more about the divide visit:

brainly.com/question/28119824

#SPJ6

Which of these triangles are definitely not congruent to any of the others?
Check all that apply.

Answers

Answer:

B and D

Step-by-step explanation:

A might be congruent to E.  

C might be congruent to F.

B and D are not congruent to any of the others.

B and d are the only two that look the same too any of the triangles that are up there

Just wanted to tell you that... You are special because theres only ONE of you :)

Answers

Answer:

how sweet thx

Step-by-step explanation:

Can somebody please
Answer them in grouping and explain the strategy

40x - 16

16x - 24x - 4 +12

-8x -8

Answers

Answer:

Step-by-step explanation:

4ox-16=4[10x-4]this is because 4 is the common factor in both 40and 16

16x-24x-4±12=4[4x-6x-1±3]

-8x-8=8[-1-1]

plssssss help fast!!!!Launching From a Tower
Suppose a projectile is launched from a tower into the air with an initial velocity of 48 feet per
second. Its height, h, in feet, above the ground is modeled by the function
h = -16t2 + vot + 64
where t is the time, in second, since the projectile was launched and v, is the initial velocity.
A. What tower platform height was the projectile launched from?
B. How long was the projectile in the air?
C. When did it reach its maximum height?
D. What was its maximum height?
E. What domain makes sense for the function in this context?

Answers

Answer:

A. h = 64

B.  t = 4 -> 4 seconds

C. t = 1.5 -> 1.5 seconds

D. maximum height is 100 ft

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

Step-by-step explanation:

h = -16t2 + vt + 64

A. What tower platform height was the projectile launched from?

when the projectile was not launched, t = 0

h = -16(0)^2 + v(0) + 64 = 64

B. How long was the projectile in the air?

if the projectile lands, its height = 0 so substitute 0 for h

0 = -16(t)^2 + 48(t) + 64

  = -16(t^2 - 3t -  4)

 = -16(t - 4)(t + 1)

t = 4 or t = -1

Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.

C. When did it reach its maximum height?

maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16

t = -48/-32 = 1.5

D. What was its maximum height?

plug t = 1.5 into -16(t)^2 + 48(t) + 64

-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

The maximum height is 100 feet at a time of about 1.5 seconds.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that:

h = -16t² + vt + 64

-16t² + 48t + 64 = h

h is the height, v is the initial velocity and t is the time.

a) The tower height is about 64 feet from the equation

b) The time is at h = 0, hence:

-16t² + 48t + 64 = 0

t = 4 seconds

c) Maximum height is at h' = 0

h' = -32t + 48

-32t + 48 = 0

t = 1.5 seconds

d) h(1.5) = -16(1.5)² + 48(1.5) + 64 = 100 feet

Find out more on equation at: https://brainly.com/question/1214333

Solve (x - 3)2 = 5.
O A. x = 8 and x = -2
B. X=5115
C. x=3+ V5
O D. x=-31,5

Answers

Answer:

x = 3 ± √5

Step-by-step explanation:

Given:

(x - 3)² = 5

Find:

Value of x

Computation:

(x - 3)² = 5

x² - 6x + 9 = 5

x² - 6x + 4 = 0

x = [-b ± √b² -4ac] / 2a

x = 3 ± √5

Barack Obama is 6° 1" tall, Michelle Obama is 5' 11" tall.
Who is taller with respect to their own gender? (Men have a
mean height of 70.4" with SD 3.0" and women have a mean
height of 65.1" with SD 2.6".) Is either one unusually tall?

Answers

Answer:

Michelle is taller for her gender

Step-by-step explanation:

Enter an inequality that represents the phrase "the sum of 7 and y is less than 9."
whats the inequality?

Answers

Answer:

Inequality Form:

y<2

Interval Notation:

(−∞,2)

The answer your looking for is: y<2

help me pls pls plshdhdvdvd

Answers

The answer is 5 and 7!

how do you get the answer for (5a+2)+(2n+6)​

Answers

Answer: you can get the answer by removing the parenthesis and combining like terms

Step-by-step explanation:

Answer:

(5a+2)+(2n+6)​

Remove the ()

5a+2+2n+6

Group Like Terms

5a+2n+2+6

Add the numbers 2 + 6 = 8

5a+2n+8

And for the final step, you add up the remainders.

(11/15a - 21) - (⅖ a + 16)
subtract

Answers

First subtract the fractions with the variable. Lastly, subtract the numbers to get -37.

Find total surface area of the pyramid.

Answer choices

A.144 inches squared

B.1150 inches squared

C.170 inches squared

D.180 inches squared

Answers

Answer:

D) 180 inches²

SEE NOTE*

Step-by-step explanation:

Base = 10x10=100

Each triangle = 1/2x10x4=20

20x4=80

100+80=180

* This may be a trick question.  This pyramid CANNOT exist.  If the base is 10 inches, the height of the triangles cannot be 4 inches.  They must be more than 5.  

a coat at a store is originally priced at $54.99. the marks the price down to $32.99. to the nearest percent, what is the percent markdown of the coat?

Answers

The answer is gonna be 40%

Can you help me solve this problem please

Answers

Answer:

x = 43

Step-by-step explanation:

It's not letting me post, so refer to my explanation in the screenshot below:

How many ways can two students be chosen from a group of four?

4
6
14
10

Answers

Answer:

6

Step-by-step explanation:

Help me and pls explain how you got the answer

Answers

Answer:

The length of the missing side is 8.5 ft

Step-by-step explanation:

To find the length of the missing side, we can use the Pythagorean theorem which states [tex]a^2 + b^2 = c^2[/tex] where c is the length of the longest side of a right-angle triangle while a and b are the other two sides. Note that the Pythagorean theorem ONLY applies to right-angle triangles.

[tex]a^2+b^2=c^2\\(6)^2+(6)^2=36+36=72=c^2\\\\c=\sqrt{72}= 8.48[/tex]

Rounding to the first decimal place, we get c = 8.5ft

Which line is the steepest:
A
B
C
D

Answers

A and C are the steepest

A new one-year membership at Fit and Fab costs $577. A registration fee of $25 is paid up front, and the rest is paid monthly. Write the equation.
How much do new members pay each month?

Answers

46 dollars.
577 minus 25 equals 552. 552 divided by 12(months) equals 46

1. -6x + 3y = 6
-4x + 2y = -10
Solve by substitution method

Answers

did you type the question wrongly?? because there’s no solution for this

In the similar triangles below, what is the measure of ∠F



90°
74°
53°
37°

Answers

Answer:

37 degrees because of similarity

Step-by-step explanation:

Answer37\

Step-by-step explanation:

What type of variable cannot take a value of fraction between two consecutive sample
points?
a. discrete c. qualitative
b. continuous d. quantitative

Answers

Answer:

jhfmgcmvmhvkufmhvmhfmbv!hvmhvmbvku

Step-by-step explanation:

hkuufkugkufx,469('%hhohk

oyraaxcn!lpouytewqafbm

The University of Florida is interested in determining if there is a difference in the proportion of male students that work versus female students, so they send out a survey with a question that asks, "Do you currently, or have you, worked a job while taking classes at UF?" Out of 874 males (group 2) that responded, 396 said yes, and out of the 902 females (group 1) that responded, 489 said yes. (Males - Females) Find the point estimate of the difference in the population proportion of females that work at UF versus males.

Answers

Answer:

-0.089

Step-by-step explanation:

Given that:

Males - Group 2:

Total number of males, n = 874

Number that said yes, = 396

P1 = 396 / 874 = 0.453

Females - Group 1 :

Total number of Females, n = 902

Number that said yes, = 489

P2 = 489 / 902 = 0.542

Point estimate of the difference in sample proportion:

P1 - P2

0.453 - 0.542

= −0.089

How do i solve this and what is the answer!?? Will give brainl

Answers

Answer:

8a) 118°

8b) 1.8

Step-by-step explanation:

8a) <NMQ and <PQM are each 62°

360-62-62=236

1/2 of 236 is 118

m<NPQ=118°

8b) 5.9-4.1=1.8

Find the surface area of this net.




_____square centimeters.

Answers

Answer:

46

12+12=24

6+6=12

8+8=16

24+12+16:46

Plsss help meeeeeeee

Answers

Answer:

x = [tex]\sqrt{99}[/tex]

Step-by-step explanation:

Based on the Pythagoras theorem, where a and b are the legs of the triangle and c is the hypotenuse.

[tex]c^{2}= a^{2} + b^{2} \\c = \sqrt{a^{2} + b^{2} } \\x = \sqrt{7^{2} + (5\sqrt{2})^{2}} \\x = \sqrt{99}[/tex]

Therefor x = [tex]\sqrt{99}[/tex]

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