Rearrange
A= 1/2(a+b)h
to make h the subject

Answers

Answer 1

Answer: sorry I don't know if this is right but h=1/2 a(a+b)

-multiply out the brackets

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You find a mutual fund that offers approximately 4% APR compoundedmonthly. How much money will you need to invest as a lump sum in order to
have $500 at the end of the year?
A. $507.89
B. $480.40
C. $518.92
D. $492.31

Answers

Final answer:

To have $500 at the end of the year with a 4% APR compounded monthly, you would need to invest approximately $480.40 as a lump sum.

Explanation:

To find the amount of money needed to invest as a lump sum in order to have $500 at the end of the year with an approximate 4% APR compounded monthly, we can use the formula for compound interest:

A = P(1 + r/n)nt

Where:

A = final amount ($500)

P = initial investment (unknown)

r = annual interest rate (4% or 0.04)

n = number of times interest is compounded per year (12)

t = number of years (1)

Plugging the given values into the formula, we can solve for P:

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

P = $500 / ((1 + 0.04/12)12*1)

P ≈ $480.40

Therefore, you would need to invest approximately $480.40 as a lump sum to have $500 at the end of the year.

Learn more about Investment here:

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Answer: 480.40

Step-by-step explanation:

We can use the formula for compound interest to calculate how much money we will need to invest as a lump sum to have $500 at the end of the year.

FV = PV x (1 + r/n)^(nt)

FV = future value

PV = present value

r = interest rate

n = number of times compounded per year

t = time in years

We know that FV = $500, r = 4% or 0.04, n = 12 (since it is compounded monthly), and t = 1. We can plug in these values to solve for PV.

$500 = PV x (1 + 0.04/12)^(12 x 1)

$500 = PV x (1.003333)^12

$500 = PV x 1.0406

PV = $500 / 1.0406

PV = $480.40

Therefore, we will need to invest $480.40 as a lump sum to have $500 at the end of the year. So, the correct option is B. $480.40.

6. Explain It Explain how the x and y coordinates are related to
the direction an object moves

Answers

They are related because its going to be how long

Not sure but it may be related because you always move right on the x axis and then up on the y axis and that can never change. For example, (5,3), you always move 5 to the right on the x axis, then 3 up on the y axis.

Name one way a parallelogram and a rhombus are different

Answers

A rhombus is a special parallelogram, so they share most characteristics; however, a rhombus' diagonals are congruent and bisect each other, while a parallelogram's diagonals only bisect each other.

A rhombus has all congruent sides but a parallelogam only has opposite sides congruent

Which of these rectangular prisms has a base area of 40cm2 and a volume of 160cm3?A. Height = 2cm, base length = 10cm, base width = 4cm
B. Height = 4cm, base length = 4cm, base width = 4cm
C. Height = 4cm, base length = 10cm, base width = 4cm
D. Height = 10cm, base length = 4cm, base width = 4cm

Answers

Answer:

C. Height = 4cm, base length = 10cm, base width = 4cm

Step-by-step explanation:

A rectangular prism has

1) Base area $=\text{Base Length}* \text{Base Width}$

2) Volume $= \text{Base area}* \text{Height}$

Consider all options:

$\text{Base area}=10* 4=40\ cm^2 \n \n\text{Volume}= 40* 2=80\ cm^3\neq 160\ cm^3$

This option is false.

$\text{Base area}=4* 4=16\ cm^2\neq 40\ cm^2 \n \n\text{Volume}= 16* 4=64\ cm^3\neq 160\ cm^3$

This option is false.

$\text{Base area}=10* 4=40\ cm^2 \n \n\text{Volume}= 40* 4=160\ cm^3$

This option is true.

$\text{Base area}=4* 4=16\ cm^2 \neq 40\ cm^2 \n \n\text{Volume}= 16* 10=160\ cm^3$

This option is false.

Answer:

The rectangular prism has " Height = 4 cm, base length = 10 cm, base width 4 cm " ⇒ C

Step-by-step explanation:

The formula of the volume of a rectangular prism is V = l × w × h , where l is its length, w is its width and h is its height

∵ The area of the base of the prism is 40 cm²

∵ The its base is shaped a rectangle

∵ Area of a rectangle = l × w

∴ l × w = 40 cm²

∵ The volume of the prism is 160 cm³

- Substitute l × w and the volume in the formula of the volume

∴ 160 = 40 × h

- Divide both sides by 40

∴ 4 = h

∴ The length of the height of the prism is 4 cm

- Lets find which two numbers give a product of 40 to find l and w

∵ 40 = 10 × 4

∴ l = 10 cm and w = 4 cm

The rectangular prism has " Height = 4 cm, base length = 10 cm, base width 4 cm"

Calulate 1 and 4 over 5 -1 third over 2 and 2 fifth $1 (4)/(5 ) - (1)/(3 ) \n 2 (2)/(5)$

Answers

$(1(4)/(5)-(1)/(3))/(2(2)/(5))=\left(1(4\cdot3)/(5\cdot3)-(1\cdot5)/(3\cdot5)\right):\left(2(2)/(5)\right)=\left(1(12)/(15)-(5)/(15)\right):(2\cdot5+2)/(5)\n\n=1(12-5)/(15):(12)/(5)=1(7)/(15)\cdot(5)/(12)=(1\cdot15+7)/(15)\cdot(5)/(12)=(22)/(15)\cdot(5)/(12)=(11)/(3)\cdot(1)/(6)\n\n=(11)/(18)$

Sally plans to run 12 miles. She ran 5 1/8 miles and then stopped for a water break. How many miles does Sakky have left to run?

Answers

So,

We can just subtract the fractions without converting any denominators. To do that, we can split the subtraction problem up as follows:

12 - 5 - 1/8
7 - 1/8
6 7/8

Sally still has 6 7/8 or 6.875 miles to run.

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