I need help...........

Trevon had $24 to spend on 5 pens after buying them he had $4 how much did each pen cost

alexira [117]

Ok.You have 24$. You used 20$. And you have $4 left. You bought 5 pens. So $20.00/ 5=$4.00. Each pen is four dollars.

8 0

3 years ago

From 1990 to 2000, the population of Florida increased by 2.13% per year. The population (in millions) in the year 1990 was 16 E

belka [17]

Answer:

19 million

Step-by-step explanation:

So generally whenever we express a exponential function, it's in the form: $y=a(b)^x$

where a=initial value aka when x=0

in this case, b can be expressed as: $1+r$ , where r is the growth rate, which in this case is 2.13%, and expressing that as a decimal (divide by 100), r=0.0213, thus b=1.0213

This gives us the following equation: $y=16(1.0213)^x$

To kind of give you a intuitive reason as to why this makes sense, think of that 1.0213 wrapping around the previous value.

So when x=0, it's actually just 16, since any number (besides 0) to the power of 0, equals 1.

When x=1, we get: $1.0213(16)$ , which can be expressed as a 2.13% increase from year 0

When x=2, we get: $1.0213(1.0213(16))$ , which can be expressed as a 2.13% increase from year 1

when x=3, we get: $1.0213(1.0213(1.0213(16)))$ , which can be expressed as a 2.13% increase from year 2.

In other words, each year we're getting another 1.0213 to multiply by (very definition of an exponent).

So to calculate the population in 1997, we put in x=7, since it's 7 years after 1990

We get the following equation: $y=16(1.0213)^7$

Using a calculator this simplifies to approximately: $18.5436$

Rounding this to the nearest integer would yield 19, and since the values are expressed in millions, the answer would be 19 million

4 0

2 years ago

A girl has 7 skirts, 9 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits can she wear

Ronch [10]

Answer: 252 i think i tried and i think its right

8 0

3 years ago

Scor Question Help 4.D.49 You can afford monthly payments of $500. If current mortgage rates are 2.83% for a 15-year fixed rate

lakkis [162]

Answer:

No down payment = $73 267; 10 % down payment = $81 408

Step-by-step explanation:

1. With no down payment

The formula for a maximum affordable loan (A) is

A = (P/i)[1 − (1 + i)^-N]

where

P = the amount of each equal payment

i = the interest rate per period

N = the total number of payments

Data:

P = 500

APR = 2.83 % = 0.0283

t = 15 yr

Calculations:

You are making monthly payments, so

i = 0.0283/12 = 0.002 358 333

The term of the loan is 15 yr, so

N = 15 × 12 = 180

A = (500/0.002 3583)[1 − (1 + 0.002 3583)^-180]

= 212 014(1 - 1.002 3583^-180)

= 212 014(1 - 0.654 424)

= 212 014 × 0.345 576

= 73 267

You can afford to spend $73 267 on a home.

2. With a 10 % down payment

Without down payment, loan = 73 267

With 10 % down payment, you pay 0.90 × new loan

0.90 × new loan = 73 267

New loan = 73267/0.90 = 81 408

With a 10 % down payment, you can afford to borrow $81 408 .

Here’s how it works:

Purchase price = $81 408

Less 10 % down = <u> -8 141 </u>

Loan = $73 267

And that's just what you can afford.

8 0

4 years ago

megan hughes deposits 2100 in an account that pays simple interest. when she withdraws her money 11 months later, she receives $

USPshnik [31]

Answer:

The rate at which the account pay the deposit is 2 %

Step-by-step explanation:

Given as :

The principal amount deposited in account = $2100

The rate of interest = r % simple interest annually

The time period = 11 months = $\frac{11}{12}$ year

The amount received = $2138.50

Now<u>, From Simple Interest method </u>

Simple Interest = $\dfrac{\textrm Principal\times \textrm rate\times \textrm time}{100}$

Or, Interest = $\dfrac{2100\times r\times \frac{11}{12}}{100}$

Or, Interest = $\frac{21\times r\times 11}{12}$

Or, Interest = 19.25 r

Now, Interest = Amount - Principal

So, 19.25 r = $2138.50 - $2100

Or, 19.25 r = $38.5

∴ r = $\frac{38.5}{19.25}$

I.e r = 2

So, rate of interest = r = 2 %

Hence The rate at which the account pay the deposit is 2 % Answer

8 0

3 years ago