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Bezzdna [24]
2 years ago
5

Amy drives 300 miles from London to Newcastle.

Mathematics
1 answer:
WARRIOR [948]2 years ago
3 0

Amy's average speed during her whole journey from London to Newcastle (300 miles) was 51.422 miles per hour.

<h3>How to calculate the average speed?</h3>

This is calculated by taking the total distance and dividing it into the total time.

<h3>What was Amy's average speed?</h3>

First part of ther journey: 165 miles at 60mph, which is equal to 2.75 hours

  • Time: distance/speed
  • Time: 165 miles/ 60 mph= 2.75 hours

Second part of her journey: 135 miles in 3.083 hours (3 hours and 5 minutes)

  • Total distance: 300 miles
  • Total time: 2.75 hours + 3.084 = 5.834

Average speed: 300 miles / 5.834 = 51.422 miles per hour

Learn more about average speed in: brainly.com/question/12322912

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Melanie made contributions to a ROTH IRA over the course of working 34 years. Her contributions averaged $3,750 annually.
aleksklad [387]
We assume that we are asked of the monthly contribution made by Melanie to a ROTH IRA. The give data are below:
Period = 34 years * 12 months = 408 months
Total contributions  = $3,750
Solving for the monthly contribution, we have the solution below:
Monthly Contribution = Total contribution / period
Monthly contribution = $3750 / 408
Monthly contribution = $9.2

The answer is $9.2 monthly contribution.
8 0
3 years ago
Solve pls brainliest
sashaice [31]

Answer:

w = 2/7

Step-by-step explanation:

You do 8 divided by 4 over 7, which is 2/7.

3 0
2 years ago
Translate the sentence into an inequality.<br><br> The sum of 7 and w is greater than 21.<br><br> ?
Alexeev081 [22]

Answer:

7+w \ge 21

remove the line under the arrow

7 0
3 years ago
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Rewrite using a fractional exponent<br><br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B7%5E2%7D" id="TexFormula1" title=
tangare [24]

Answer:

7^{\frac{1}{3} }

Step-by-step explanation:

Using the rule of exponents

\sqrt[n]{a^{m} } ⇔ a^{\frac{m}{n} } , then

\sqrt[6]{7^{2} } = 7^{\frac{2}{6} } = 7^{\frac{1}{3} }

8 0
3 years ago
A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest
OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150

substitute in the formula above

I=P_1(r_1t)+P_2(r_2t)

1,150=x(0.0525*1)+(25,000-x)(0.04*1)

Solve for x

1,150=0.0525x+1,000-0.04x

0.0525x-0.04x=1,150-1,000

0.0125x=150

x=\$12,000

|$25,000-x=\$13,000

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

6 0
3 years ago
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