Two prime numbers between 60 and 90

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.

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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.

Answer:

d

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

= = ( cross-  multiply )

5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )

10x + 5 = 8x + 32 ( subtract 8x from both sides )

2x + 5 = 32 ( subtract 5 from both sides )

2x = 27 ( divide both sides by 2 )

x = 13.5 → d

Under the given conditions Maribel can reach her goal of the skate.

What are Mathematical operators?

A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:

Operator: An operator is a symbol that denotes a math operation, such as:

division, addition, subtraction, and multiplication.

Given total distance to skate = 1 and 1/2 = 3/2 miles

skates in morning = 9/10 miles

distance left to skates = 3/2 - 9/10

multiply and divide by 5 in 3/2 = (3 x 5)/(2 x 5) = 15/10

distance left to skates = 15/10 - 9/10 = 6/10

distance left to skates = 6/10 = 3/5

and skate 2/3 of 9/10 in afternoon,

2/ 3 x  9/10 = 3/5

so the left distance is 3/5 which she skates in the afternoon.

Hence she will reach her goal.

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