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zloy xaker [14]

2 years ago

11

Solve the equation 6x+7x−3x=13+7. Be sure to check your proposed solution by substituting it for the variable in the original eq

uation.

1 answer:

DerKrebs [107]2 years ago

3 0

Answer:

x=2

Step-by-step explanation:

6x+7x−3x=13+7

10x=20

x=20/10

x=2

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A dime weighs 1/12 ounce Jody has 1 pound of dimes about many dimes does she have?

pishuonlain [190]

Answer:

2 1/3

Step-by-step explanation:

You take the first number them multiply then divide

6 0

2 years ago

How to Become a Millionaire Upon graduating from col- lege, Donna has no initial capital. However, during each year she makes de

lesantik [10]

Answer:

amount is 1000 × $e^{0.08t}$

$40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

Step-by-step explanation:

principal = $1000

rate = 8 % = 0.08

to find out

the future value, S(t)

principal when Donna's account will be 1 million dollars when she retires in 40 year

at what rate Donna's account will have a balance of 1 million dollars in 40 years

solution

we know compounded continuously formula i.e.

amount = principal × $e^{rt}$ ..................1

put the value principal and rate in equation 1 to find amount any time

amount = principal × $e^{rt}$

amount = 1000 × $e^{0.08t}$

in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1 to find principal

rt = 0.08 × 40 = 3.2

amount = principal × $e^{rt}$

1000000 = principal × $e^{3.2}$

principal = 1000000 / $e^{3.2}$

principal = 1000000 / 24.5325302

principal = 40762.20397

so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate

amount = principal × $e^{rt}$

1000000 = 2500 × $e^{40r}$

take ln both side

ln $e^{40r}$ = ln (1000000 / 2500 )

40 r = ln 400

r = ln (400) / 40

r = 0.149787

so rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

5 0

2 years ago

Suppose David had $65 to spend on his ticket and some shirts. He already used $32.25 on his ticket and the shirts are $14.50. Ho

DiKsa [7]

We know $65 were spent on his ticket and some shirts.Which he used 32.25 which leaves us with 27.75 and a shirt cost 14 and 50 cent .

SO you need to divide 27.75 in 14 and 50 cents which is equal to

14 plus 14 equals 28
75 plus 50 equals 1 and 25 cents

David can buy two shirts

Hope this helped

5 0

2 years ago

Choose the equation for the red graph

Leona [35]

The red line is a reflection across the x-axis, so the correct option is d.

<h3>How to write the equation for the red line?</h3>

First, we know that the black line is represented by y = f(x). Here, we can see that the red line is given by a reflection around the x-axis.

This reflection only changes the sign of the right side, then we get that the function of the red line is:

g(x) = -f(x)

Then we can write this as:

y = g(x) = -f(x) = -1*f(x)

If we divide both sides by -1, we get:

y/(-1) = f(x)

Like in option d, so that is the correct one.

If you want to learn more about reflections:

brainly.com/question/4289712

#SPJ1

3 0

1 year ago

In the morning, the temperature was 15∘F. During the day, the temperature fell 37 degrees. Which expression shows how to find th

tino4ka555 [31]

Answer:

- 22°F

Step-by-step explanation:

Given that :

Morning temperature = 15°F

Change in temperature = fall by 37 degree

The temperature of the end of the day:

Morning temperature + (change in temperature)

Fall by 37° = decrease in temperature by 37° = - 37°

15°F + (-37°F)

15°F - 37°F

= - 22°F

6 0

2 years ago