Wat is 320,000,000 written in scientific notation

The total cost of a jacket and a pair of pants was $66.12. If the price of the jacket was $3.26 less than the pair of pants, wha

drek231 [11]

Answer:

The price of the jacket was $31.43

Step-by-step explanation:

Let the cost of a jacket = x

Let the cost of a pair of pants = y

Such that,

x + y = $66.12.........Equation 1.

From the conditional statement,

x = y - $3.26..........Equation 2.

Solve both equations simultaneously, using the substitution method

From Equation 2;

x = y - 3.26

Substitute y - 3.26 for x in Equation 1.

x + y = 66.12, now becomes,

y - 3.26 + y = 66.12

collect like terms

y + y = 66.12 + 3.26

2y = 69.36

y= 69.36/2 = $34.69.

Put y = $34.69 in Equation 2. to obtain x

x = 34.69 - 3.26

x = $31.43

4 0

3 years ago

George is considering two different investment options. The first offers 7.4% per year simple interest on the initial deposit. T

pentagon [3]

Answer:

Part A) $\$12,220.00$

Part B) $\$12,134.08$

Part C) The simple interest investment is better than the compounded interest investment at the end of three years.

Part D) see the explanation

Step-by-step explanation:

Part A) Determine the value of the simple-interest investment at the end of three years

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=3\ years\\ P=\$10,000\\r=7.4\%=7.4/100=0.074$

substitute in the formula above

$A=10,000(1+0.074*3)$

$A=10,000(1.222)$

$A=\$12,220.00$

Part B) Determine the value of the compound-interest investment at the end of three years

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=3\ years\\ P=\$10,000\\r=6.5\%=6.5/100=0.065\\n=4$

substitute in the formula above

$A=10,000(1+\frac{0.065}{4})^{4*3}$

$A=10,000(1.01625)^{12}$

$A=\$12,134.08$

Part C) Which investment is better over the first three years?

Compare the two investment

$\$12,134.08 < \$12,220.00$

The compounded interest investment is less than the simple interest investment

therefore

The simple interest investment is better than the compounded interest investment at the end of three years

Part D) How would you advise George to invest his money if he is unsure how long he’ll keep the money in the account?

we have

$A=10,000(1+0.074t)$ ----> simple interest formula as a function of the time t

$A=10,000(1.01625)^{4t}$ ----> compound interest formula as function of the time t

Look to the attached graph below

The red line represents the simple interest investment

The blue curve represents the compounded interest investment

After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest

After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest

therefore

I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

4 0

3 years ago

5.1 kilograms = __grams<br> Answer here

kotykmax [81]

1 gram = .001 kg

5.1kg = 5100g

7 0

3 years ago

Two types of sandwiches were made for a tea party. 55% of the sandwiches were cheese sandwiches and the rest were chicken sandwi

Helen [10]

"To solve this problem, the formula can be used

I = P / T

Where I is the fraction of the sample

P is the amount of the sample

T is the total amount of sample

Since P = 252 chicken sandwiches and I = 0.55

And solve for T

T = 252 / 0.52

T = 458 sandwiches in total"

hope this helps

7 0

4 years ago

raffle tickets are being sold for a fundraiser. The relationship between n, number of raffle tickets sold, and A, amount of mone

jolli1 [7]

Answer:

D. N(a) = (a + 20)/3

Step-by-step explanation:

A(n) = 3n - 20

A is a function of n. The inverse will be: N is a function of a.

Change A(n) to y and n to x.

y = 3x - 20

Switch x and y.

x = 3y - 20

Solve for y.

x + 20 = 3y

3y = x + 20

y = (x + 20)/3

Now switch y to N(a) and x to a.

Answer: N(a) = (a + 20)/3

8 0

4 years ago

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