- Both numbers are less than 10.<br> The distance between the two numbers on the number line is 14.

Share £40 in the ratio 1:2:5

e-lub [12.9K]

5:10:25. 1+2+5=8÷40=5×1=5. 5×2=10. 5×5=25 so 5:10:25

3 0

3 years ago

2. Construct Arguments Macy says that any

melamori03 [73]

Answer:Incorrect.

For example, two equations with same y intercept.

y = 2x + 3

y = 5x + 3

This system has only one solution.

Another example,

y = x + 7

This system has infinitely many solutions.

So she is not correct because of the first example.

Step-by-step explanation:

4 0

3 years ago

Justin travels at 70 km/h on his motorcycle. If the speed limit is 50 mi./hr., is he speeding? Why or why not?

balu736 [363]

Answer:

Justin is <em>not </em>speeding because there is 1.609 km in a mile. So if you compare it to 70 km/h to 50 mi/h it would 70 km and 43.50 miles per hour. So like I said, no he is not because he is going below 50 mi/h.

6 0

3 years ago

Read 2 more answers

Solving systems of equations using substitution p=q+2<br> 4p+3q= -27

GREYUIT [131]

Ok, so you are given the value of P=q+2

The substitution method tells us that we must insert the value we know, into the second equation, 4P+3q= -27

Doing so will give us 4(q+2)+3q= -27

For right now, lets just focus on the first part, 4(q+2)

We can simplify this by distributing(multiplying) the 4 to whats inside the variables.

This will give us 4q+8

now lets add this back to the rest of the equation >>> 4q+8+3q = -27

We can further simplify by adding like terms >>> 7q+8 = -27

subtract the 8 from both sides >>> 7q = -35

now divide both sides by 7 >>> q = -35/7

Therefor q = -5

EDIT*

now that we know q = -5 we can put q into the equation for P !

we know that p=q+2

so lets put q in now >>> p=(-5)+2

and simplify>>> p = -3

I hope this helps:)

6 0

3 years ago

Lauren will make annual contributions in the amount of $4,770, on average, to a 401(k) over the next 34 years. Her employer will

fredd [130]

Answer:

$610,297.11

Step-by-step explanation:

The problem seems to make several assumptions:

contributions are made at the end of each year
contributions and employer matching funds are not taxed until retirement
the 15% tax rate applies to the account balance amount at retirement

Of these, the last is least likely to be true in the United States.

___

Based on the assumptions above, we compute the amount from the future value of the series of contributions, then subtract 15% from that result.

FV = P·((1 +r)^n -1)/r . . . . where P is the amount of each payment, r is the annual interest rate, n is the number of payments.

The amount deposited each year is ...

$4770 + 0.60·4770 = $7630

Then the future value after 34 deposits is ...

FV = 7630·(1.055^34 -1)/0.055 ≈ 717,996.60

When this amount is reduced by the assumed 15% tax rate, it becomes ...

$717,996.60 - 0.15·717,996.60 = $610,297.11

4 0

3 years ago

- Both numbers are less than 10. The distance between the two numbers on the number line is 14.