Emani borrowed $2,000 from his bank. The loan will be compounded quarterly for 3.5 years at an 8% interest rate. The full amount to the nearest
whole cent) he will owe to the bank (principal + interest) is:
Note: Use the formula: FV = P(1 + yt.

Answer:

[tex] \frac{1}{2} + \frac{10}{12} \: = \: \boxed{\frac{4}{3}} [/tex]

Explanation:

[tex] \frac{1}{2} + \frac{10}{12} \: = \: \frac{1 × 6}{2 × 6} + \frac{10}{12} \: = \: \frac{6}{12} + \frac{10}{12} \: = \: \frac{6 + 10}{12} \: = \frac{16}{12} \: = \: \frac{16 ÷ 4}{12 ÷ 4} \: = \: \frac{4}{3}[/tex]

[Multiply the numerator and denominator by the common denominator so that both denominators are the same]

[Add the numerators together]

[Reduce the fractions and simplify by a common denominator until the denominator or numerator cannot be divided evenly]

Answer:

x=3

Explanation

2x+1=7

Step 1: Subtract 1 from both sides.

2x+1−1=7−1

2x=6

Step 2: Divide both sides by 2.

2x/2  =  6/2

x=3

plz mark me as brainliest

Answer:

she starts with $25

every three games she spends $1.50 (.50 per game)

Step-by-step explanation:

i mean i cant really explain it, its kinda self explanatory

Step-by-step explanation:

The surface area increases by 100

if x y and z are side lengths and it is a rectangle.

Then finding the surface area would normally be 2xy+2yz+2xz

But then increasing each side length by a factor of 10 means multiplying it together

2x(10)y(10)+2y(10)z(10)+2x(10)z(10)

200xy+200yz+200xz and that is 100 times greater than the normal surface area.

Volume:

(x)(y)(z)=normal volume

x(10)y(10)z(10)=increased value

1000xyz=new volume

that is 1000 times greater than the previous volume

Hope that helps :)

Answer:

3

Step-by-step explanation:

3 occurs the most in this data set

Answer:

The mode is 3.

Step-by-step explanation:

Answer:

Bueno esto es lo que yo calculo

3×‐12

3(×‐4)

3 14x12

A calcule

A 12×3 =14

es lo que me calcula

Answer:

Step-by-step explanation:

14/6 = 21 / 3x - 12            

first, cross multiply

14 (3x - 12) = 6*21

Remove the brackets

42x - 168 = 126

Add 168 to both sides

42x = 168 + 126

Combine

42x = 294

Divide by 42

x = 294/42

x = 7                                                                                                                                                                                  

Answer:

20x^2+23x+6

Step-by-step explanation:

(4x+3)(5x+2)

(4x)(5x)+2(4x)+(5x)3+3(2)

20x^2+8x+15x+6

20x^2+23x+6

Hope that helps :)

Answer:

20x^2 + 23x + 6

Step-by-step explanation:

4x (5x + 2) + 3(5x + 2)

20x^2 + 8x + 15x + 6

20x^2 + 23x + 6

Answer:

15 weeks

Step-by-step explanation:

I just answered this one not too long ago

It will take 15 weeks for Emanuel to lose at most 251 pounds.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, Emanuel is trying to lose weight, he starts 2017 weighing 296 pounds.

If he plans to burn enough calories to lose 3 pounds per week,

We need to find that how many weeks will pass before Emanuel is at most 251 pounds,

So, let the number of weeks be x,

We will use here the concept of equations solving,

So, establishing the equations,

296 - 3x = 251

296 - 251 = 3x

45 = 3x

x = 15

Hence, it will take 15 weeks for Emanuel to lose at most 251 pounds.

Learn more about equations, click;

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Answer: 21.625

Step-by-step explanation:

The percentage of 21 (5/8)% in decimal form is 173/800.

We have,

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The given percentage expression.

21(5/8) %

Divide by 100 to remove the %.

This can be written as,

21(5/8) / 100

Now,

21(5/8)

= (21 x 8 + 5) / 8

Simply the fraction.

= 173/8

Now,

173/8 / 100

Simplify the fraction.

= 173/800

Thus,

The percentage of 21 (5/8)% in decimal form is 173/800.

Learn more about percentages here:

https://brainly.com/question/11403063

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Answer: 60

Step-by-step explanation: Plug in 8 for x and either use the linear supplements theorem to solve or the vertical angles congruence theorem.

Answer:

the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331

Answer:

z=529

Step-by-step explanation:

Let's solve your equation step-by-step.

√z=23

Solve Square Root.

√z=23

z=232(Square both sides)

z=529

Check answers. (Plug them in to make sure they work.)

z=529(Works in original equation)

Presumably, x is standing in for the question mark.

The pair of vertical angles (DFE and CFV) shown here both have measure 125°. This angle measure is equal to the average of the measures of the arcs intercepted by the chords CE and DV.

So we have

angle DFE = 1/2 (arc CV + arc DE)

125° = 1/2 (x + 200°)

250° = x + 200°

x = 50°

Answer:

Total volume of 80 balls = 2,263.2 inch³

Step-by-step explanation:

Given:

Diameter of lead ball = 6 inch

Number of ball need = 80

Find:

Total volume of 80 balls

Computation:

Radius of lead ball = Diameter / 2

Radius of lead ball = 6 / 2

Radius of lead ball = 3 inch

Volume of lead ball = πr²

Volume of lead ball = (22/7)(3)²

Volume of lead ball = (22/7)(9)

Volume of lead ball = 28.29 inch³ (Approx.)

Total volume of 80 balls = 80 x Volume of lead ball

Total volume of 80 balls = 80 x 28.29

Total volume of 80 balls = 2,263.2 inch³

Answer:

x=2.32

Step-by-step explanation:

-1.32+x=1

add 1.32 to both sides

1.32 cancels itself out

so you are left with x=2.32

Answer:

im not sure but i think it is A...

Answer:

Step-by-step explanation:

The sides of a quadrilateral always add up to 360°.

Missing angle = 360-115-97-68 = 80°

Answer:

D. 80°

Step-by-step explanation:

A quadrilateral always add up to 360°

To find the missing value we first have to add the given number up:

115 + 97 + 68 = 280°

Now we minus our value from 360° :

360° - 280° = 80°

Hope this helps!

Answer:

For this problem you will be multiplying 3 probabilities together: P(#1 is blue)*P(#2 is blue)*P(#3 is blue). For the first probability, we just need to divide the number of blue marbles by the total number of marbles which would be 8/18. For the 2nd probability, we need to remember that we have already removed 1 blue marble so that the number of blue marbles remaining is now 7 and the total number of marbles is now 17 to give us 7/17. We would repeat this process to get the third probability and then multiply all the probabilities together.

Answer:

Answer:

x=1 or x=−1

Step-by-step explanation:

I think just 2

Answer:

x=1, x=-1

Step-by-step explanation:

x^2=1

x=sqrt(1)=+-1

Thus, there are 2 solutions: 1 and -1

Answer: 17 feet long 14 feet wide

The model has a scale of 1 : 16 so you can use a calculator like this one to find the exact length. https://www.ginifab.com/feeds/cm_to_inch/scale_converter.html

Answer:

F

Step-by-step explanation:

answer:

shape f !

step-by-step explanation:

hi there!

the question is asking us which shape matches shape a right, now if we look closely we already know that shapes d and b look like they match each other rather then shape a

shape a - 2, 2, 4

so they are out of the equation ( checking how long the sides are )

shape d - 3, 3, 3

shape b - 3, 3, 3

shapes e and c look like they match each other but just to make sure, i counted how long the each side was for both of them

( going by blocks )

shape c - 2, 3, 4,

shape e - 2, 3, almost 5

which does leave us left with shape f, but just to make sure.. lets count it!

shape f - 2, 2, 4,

which is the same numbers that shape a has!

shape f = shape a

hope this helps you!! and if i made a mistake reading the problem or doing the problem then please tell me :) have a good day

Square and Rectangle

I hope this helps you

Answer:

50

Step-by-step explanation:

Given

Total number of US houses = 500

If 10% were affected by fuel oil

Total number affected by fuel oil = 10% of 500

Total number affected by fuel oil = 0.1 * 500

Total number affected by fuel oil = 50

Hence 50 houses were affected by fuel oil