What is another way to write 10 4? 0.0001 10,000 1,000 0.001

Last year, Keiko had $20,000 to invest. She invested some of it in an account that paid %7 simple interest per year, and she inv

erma4kov [3.2K]

Answer:

$P_2 = \$6,000\\P_1 = \$14,000$

Step-by-step explanation:

The formula of simple interest is:

$I = P_0rt$

Where I is the interest earned after t years

r is the interest rate

$P_0$ is the initial amount

We know that the investment was $20,000 in two accounts

_______________________________________________

For the first account r = 0.07 per year.

Then the formula is:

$I_1 = P_1r_1t$

Where

$P_1$ is the initial amount in account 1 at a rate $r_1$ during t = 1 year

$I_1 = P_1(0.07)(1)\\\\I_1 = 0.07P_1$

For the second account r = 0.05 per year.

Then the formula is:

$I_2 = P_2r_2t$

Where

$P_2$ is the initial amount in account 2 at a rate $r_2$ during t = 1 year

Then

$I_2 = P_2(0.05)(1)\\\\I_2 = 0.05P_2$

We know that the final profit was I $1,280.

So

$I = I_1 + I_2=1,280$

Substituting the values $I_1$ , $I_2$ and I we have:

$1,280 = 0.07P_1 + 0.05P_2$

As the total amount that was invested was $20,000 then

$P_0 = P_1 + P_2 = 20,000$

Then we multiply the second equation by -0.07 and add it to the first equation:

$0.07P_1 + 0.05P_2 = 1.280\\.\ \ \ \ \ \ \ \ +\\-0.07P_1 -0.07P_2 = -1400\\-------------$

$-0.02P_2 = -120\\\\P_2 = 6,000$

Then $P_1 = 14,000$

4 0

3 years ago

ABC has the following transformation rotated 90 degrees clockwise about the origin reflected across the y-axis and reflected aga

Harlamova29_29 [7]

Answer: Leftmost vertex

Step-by-step explanation:

4 0

2 years ago

Which transformation of the parent square root function will result in the given domain and range? domain : [2,∞) range : [3,∞)

Roman55 [17]

Answer:

B. g(x) = (x - 2)^(1/2) + 3

Step-by-step explanation:

This is B

(x - 2) is not negative and defined when x≥0
g(x) gets minimum value of 3 at minimum value of x = 2

8 0

2 years ago

Dan gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many cola bottles as smar

Gelneren [198K]

Answer:

1/6

Step-by-step explanation:

Let

c-----> the number of cola bottles that Dan picks

s ----> the number of smarties that Dan picks

m ---> the number of marshmallows that Dan picks

we know that

c=3s ----> equation A

m=2s ---> equation B

we know that

To find out the proportion of the bag of sweets that are smarties, divide the number of smarties by the total of sweets

The total of sweets is equal to

(c+s+m)

substitute equation A and equation B in the total of sweets

(3s+s+2s) =6s

Find the proportion

s/6s

Simplify

1/6

3 0

3 years ago

PLEASE HELP ME I WILL DO ANYTHING!!!

ioda

Answer:

x=11

Step-by-step explanation:

the angles shown are supplementary so they will add up to equal 180 so we write the equation 180=5x+10x+15 and solve for x

step 1 combine like terms

180=15x+15

step 2 subtract each side by 15

165=15x

step 3 divide each side by 15

x=11

5 0

2 years ago