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3 years ago

Nancy has $4,111 in an account that pays 1.07% interest compounded monthly. What is her

Mathematics

1 answer:

GuDViN [60]3 years ago

6 0

Answer:

$4199.88

Step-by-step explanation:

We're gonna use the compound interest formula: P = A(1 + r/n)^nt

P = final amount

A = starting amount (4,1111)

r = rate (0.0107)

n = times applied (12 since it's quarterly)

t = years (2 x 12 = 24)

P = 4,111(1 + 0.0107/12)^24

P = 4,111(1 + .0008916666...)^24

P = 4,111(1.021621)

P = 4,199.883441

Round it to 4199.88

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Joelle spent 1 1/2 hours studying for her science test. Rileigh studied for 3/4 of Joelle’s time. What fraction of an hour did R

Tema [17]

Answer:

1¹/₈ hours

Joelle spent 1¹/₂ hours reading and Rileigh spent 3/4 of that time.

To find out how much time Rileigh spent, multiply the fractions but first convert the improper fraction to a proper fraction:

= 1¹/₂ = 3/2

= 3/2 * 3/4

= 9/8

= 1¹/₈ hours

Step-by-step explanation:

6 0

2 years ago

The ratio of students who wear glasses to the total class is 2:5

Taya2010 [7]

Answer:

a. 2:3, b. 25 students, c. 3:2

Step-by-step explanation:

a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.

b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.

c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.

4 0

3 years ago

Please help! Picture attached. (7th grade)

Hunter-Best [27]

Option B. 2 because 2-8
------- = -3
2

8 0

3 years ago

Read 2 more answers

Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the

tia_tia [17]

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: $k=\frac{y}{x}$

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

5 0

3 years ago

Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X. Show all work

aleksandr82 [10.1K]

Answer:

Equation of line is y=(12/5)x+2

Step-by-step explanation:

The slope of line AB is -5/12. The line passing X is perpendicular to line AB and hence have a slope of 12/5. The slope intercept form is given by y=mx+c.

Now, point X satisfies the equation. Plugging in the slope of the line we end up with

y=(12/5)*x+c, now to find c

-10=(12/5)*(-5)+c, c=2

Equation of line is y=(12/5)x+2

7 0

3 years ago