What is the answer to this
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Answer:

the future value of each deposit = ($67,705 x 1/12 x 0.02) x (1 + 1%)ⁿ = $112.84 x 1.01ⁿ

where n = number of quarters (interest is compounded quarterly)

the effective interest = 1.01⁴ - 1 = 4.06%

Assuming that you are going to make monthly payments, then you would need the number of quarters (n) in order to determine the future value. Since the interest is compounded quarterly, each contribution = $112.84 x 3 = $338.52

For example, if you are planning to save money for 5 years (n = 5 x 4 = 20), then the future value of the investment = $338.52 x 22.019 (FV annuity factor, 1%, 20 periods) = $7,453.87

if you want to calculate the total number of contributions (n):

FV annuity factor, 1%, n? = future value / contribution = $10,000 / $338.52 = 29.5404

since you know the interest rate (1%) you have to look at a future value annuity table and search the n for 29.54. This is approximately 26 periods (FV annuity factor = 29.53).

Answer:

68.75%

Step-by-step explanation:

First you do 54 - 32 to get 22.

Then you divide 22 by 32 to get the decimal 0.6875

Finally, you multiply 0.6875 by 100 to get 68.75% :D

Answer:

68.73% more cars were sold

Step-by-step explanation:

from 32 cars that represented 100% went to 54 so is a diference of 54-32=22

Now what percentage  of 32 is 22?

32 is 100%

22 is x%

x=(22*100)/32=2200/32=68.73%

Answer:

1753

Step-by-step explanation:

Answer:

2b+6=14, b=4

Step-by-step explanation:

maths

Answer:

$3350

Step-by-step explanation:

HSA holders have the opportunity to keep a certain amount in reserve up to $3350 for an individual and $6650 for a family. Those that are 55 and older have the opportunity to accumulate an additional $1000 which implies that $4350 per individual and $7650 per family, in which these contributions require 100% tax -deductible at gross income.

Thus, the maximum permitted HSA contribution in 2020 for Jack is $3350.

The maximum permitted HSA contribution in 2020 for jack is $3350.

A health savings account (HSA) is a tax-advantaged savings account a family or individual can use to pay for qualified medical expenses. HSAs are paired with a high-deductible health plan (HDHP) and have annual contribution limits. Each year, the IRS HSA rules adjust the guidelines regarding HDHPs and HSA contribution limits.

HSA holders have the opportunity to keep a certain amount in reserve up to $3350 for an individual and $6650 for a family. Those that are 55 and older have the opportunity to accumulate an additional $1000 which implies that $4350 per individual and $7650 per family.

Hence The maximum permitted HSA contribution in 2020 for jack is $3350.

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Answer:

4 dollars per pint. You can 0.25 pint per dollar. For 20 dollars

u can get 5 pints. 8 pints will be 32 dollars.

Answer:

Per pint is $4

You get a .25 pint for 1 dollar

You get 5 pints for $20

It cost $32 for 8 pints of raspberries

Step-by-step explanation:

Once you find the unit rate you can multiply and divide depending on the question.

Answer:

A is right

B is acute

C is obtuse

D is right

Step-by-step explanation:

90 is right

anything under 90 is acute

over 90 obtuse

Answer:

∠A: Right Angle.

∠B: Acute Angle.

∠C: Obtuse Angle.

∠D: Right Angle.

I hope this helped you

Answer:

x = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

4/(x + 1) = 3/(x + 2)

Step 2: Solve for x

Answer:

to solve a proportion, you cross multiply. so you take the numerator of the first one, and multiply it by the denominator of the second one. and then the denominator of the first one is multiplied by the numerator of the second one:

4(x+2)=3(x+1) (set them = and then use the distributive property)

4x+8 = 3x+3 (subtract 3x from both sides)

x +8 = 3 (subtract 8 from both sides)

x= -5  (the answer)

Answer:

-6 is the integer

Step-by-step explanation:

Answer:

25pi

Step-by-step explanation:

Area = pi(r)^2

if diameter is 10 then r = 5

Answer:

25π

Step-by-step explanation:

The radius is half of the diameter. 10/2 = 5 so the radius is 5

The formula for area of a circle is: π[tex]r^{2}[/tex]

[tex]5^{2}[/tex] × π =

25 × π =

25π

Answer:

x = 2.4

y = 31

Step-by-step explanation:

Angle B = 25x

BC = 31

therefore , this is an equilateral triangle all sides and angles are equal,

25x =60

x = 2.4

BC = BA = AC

y= 31

Answer:

who is Rose

Step-by-step explanation:

We have been given that two figures. The scale factor of Figure A to Figure B is 3:8. We are asked to find the value of x.

We will use proportions to solve our given problem.

Figure A/Figure B=3/8

Upon substituting the ratio between Figure A and Figure B, we will get:

3/8=×/24

3/8•24=×/24•24

3/1•3=×

9=×

Therefore, the value of x is 9.

Answer:

We are all smart but we do st*Upid things. very st*Upid things.

Step-by-step explanation:

Answer:

45 ft i think im not sure sorry if im wrong

Step-by-step explanation:

Answer:

10.54 kg

Step-by-step explanation:

Given that :

Half of blueberries is served with breakfast

The remaining 5270g is served with dinner

How many kilograms of blueberries did the science camp start with :

Total grams of blue berries :

(Grams served at breakfast + grams served at dinner)

Let total blueberries = x

x/2 + 5270 = x

(x + 10540) /2 = x

x + 10540 = 2x

10540 = 2x - x

x = 10540 grams

Amount of kilograms science camp started with = (10540) / 1000 = 10.54 kg

Answer:-15,20

Step-by-step explanation:

Answer: 12.8 × 500 =k

6400=k

Step-by-step explanation:

Answer:

n<=7 (less than or equal to)

Step-by-step explanation:

42/6=7, so 7 is the max number of laps he will run.

Given:

[tex]\dfrac{10}{24}[/tex] and [tex]\dfrac{5}{12}[/tex].

To find:

The relationship between the ratios.

Solution:

We have, two ratios in the fraction form.

[tex]\dfrac{10}{24}[/tex] and [tex]\dfrac{5}{12}[/tex]

First ratio = [tex]\dfrac{10}{24}[/tex]

                = [tex]\dfrac{2\times 5}{2\times 12}[/tex]

                =[tex]\dfrac{5}{12}[/tex]           (Cancel out the common factors)

First ratio = Second ratio

Since, the both ratios are equal to each other, therefore, the given ratios are equivalent ratios.

Answer:

There are 0.475 pounds of apples in each tart.

I arrived in this number by dividing the total number of pounds by the total number of tarts made.

475 pounds divided by 1000 tarts is equal to 0.475 pounds per tart.

475 lbs/1000 tarts = 0.475 lbs/tart

So, if you are to bake a certain number of tarts and need to know the total number of pounds of apple needed to bake you can use this equation.

y = 0.475x

where y represents the total number of pounds needed to bake x number of tarts with a fixed 0.475 pounds per tart.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

First, you figure out how many marbles are in total, which is the denominator. The total number of marbles is 30.

Then, you figure out how many marbles are blue, which is the numerator. There are 20 blue marbles.

Finally, you simplify the fraction. 20/30=2/3.

Answer:

75% i think

Step-by-step explanation:

Answer:

0.7 is the answer to your question

Answer:

0.7

Step-by-step explanation:

' Of ' almost always means multiplication, so the problem is 7% * 70.

This means 0.07 * 70 ( 7% = 0.07 ), and that is 0.7!

Hope this helped!

Given:

The steps of simplification of the expression.

[tex]4-3x^2+2x-x^2+3+x^2[/tex]

To find:

The properties to justify the line 2 and line 3.

Solution:

We have,

[tex]4-3x^2+2x-x^2+3+x^2[/tex]

Line 1: [tex]4+3-x^2+x^2-3x^2+2x[/tex]        (Rearranging the terms)

Line 2: [tex]7-x^2+x^2-3x^2+2x[/tex]        (Combining the constant terms)

Line 3: [tex]7+0-3x^2+2x[/tex]        (Additive inverse property)

Line 4: [tex]7-3x^2+2x[/tex]        (Additive identity property)

Therefore, the justifications of Line 2 and Line 3 are combining the constant terms and additive inverse property respectively.

Answer:

15 pies sold and 10 cakes sold.

Step-by-step explanation:

Let p be the number of pies sold.  So, the number of cakes sold is 25-p.

5.99p + 9.99(25-p) = 189.75

5.99p + 249.75 - 9.99p = 189.75

4p = 60

p = 15

25 - p = 10

Answer:   A. 1.01  Same as 1 1/100  fractions are rational

B. 57  Integers are rational. (Invisible implied denominator is 1)

Step-by-step explanation:  c might be, but the denominator is not specified-- or maybe / is supposed to mean square root. So probably not.

D. NO, non-repeating decimal numbers are irrational

Step-by-step explanation:

Let A be the tens digit of the number and B be the ones digit.

We have A + B = 10 and 10A + B - 36 = 10B + A.

=> A + B = 10 and 9A - 36 = 9B

=> A + B = 10 and A - 4 = B

=> A + B = 10 and A - B = 4

Therefore 2A = 10 + 4 = 14,

A = 7 and B = 10 - 7 = 3.

Hence the number is 73.

Answer:

4.83 * 10^9

Step-by-step explanation:

Here, we want to express the given number in scientific notation

What we have to do here is to place the decimal number at the back of the first non zero number

The first non zero number is 4

So

let us count the number of digits after the first non zero number

That will be 9

So we make this the power of 10

And our answer will be;

4.83 *10^9

I think the awnser is B=30