MATHEMATICS HIGH SCHOOL

The first term of an AP is 5, common difference is 3 and the last term is 80. Find the number of terms.

Answers

Answer 1

Answer:

Answer:

n=26

Step-by-step explanation:

an=a+(n-1)d

80=5+(n-1)3

80=5+3n-3

80-2=3n

78/3=n

n=26

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Please help I don't understand this

A car that travels 15mi in 15min is traveling at a rate of miles per hour.

Answers

Answer:

60 miles per hour

Step-by-step explanation:

There are 60 minutes in one hour. Understanding this will allow us to solve the problem.

If a car travels 15 miles in 15 minutes, then we need to calculate how many miles they traveled in one hour or 60 minutes. 15 goes into 60, 4 times (60/15 = 4).

We can set up the proportion like this:

15 miles x miles

________ = __________

15 minutes 60 minutes

To find x, we just multiply 15 miles by the same amount as we did for 15 minutes, 4. 15 * 4 = 60, so the car is traveling 60 miles per hour.

The question is about calculating speed in Mathematics. Given that a car travels 15 miles in 15 minutes, converting 15 minutes to 0.25 hours, we can determine the speed by dividing distance by time. Thus, the car travels at a speed of 60 miles per hour.

The subject of this question is Mathematics, specifically focused on the concept of speed calculations. We are asked to calculate the speed of a car in miles per hour (mph), given that it traveled 15 miles in 15 minutes.

The formula to calculate speed is distance divided by time. However, we need to ensure that both measurements are in the same units. In this case, time is given in minutes but we need the speed in miles per hour (mph), so we'll need to convert minutes to hours.

As there are 60 minutes in an hour, the time of 15 minutes becomes 15 / 60 = 0.25 hours. Thus, the speed of the car is calculated as 15 miles / 0.25 hours = 60 mph.

So, a car that travels 15 miles in 15 minutes is traveling at a speed of 60 miles per hour.

Learn more about Calculating Speed

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Using the function in example one, what is the y value (output) when x=4?

Answers

Answer:

-7

Step-by-step explanation:

Using the formula given above, just put in 4 and replace x. It will give you an answer of -7

The product of 7 and 0.04 is 0.28.

[True]

or

[False]

Answers

The product of 7 and 0.04 is 0.28=true

Answer:

the answer is true

I need 15. please its my last question and fast

Answers

Answer: X(to the power of 0) over 3(to the power of 2)

Explanation: It is equal to 1/9

Cameron opens a checking account and a savings account at his local bank. He deposits $10,000 into his checking account and $2,000 into his savings account. He will withdraw $1,200 from his checking account each year. His savings account earns 8% interest each year. In how many years will both accounts have the same balance?

Answers

The correct answer is:
5.9 years.

Explanation:
Let x be the number of years. For the checking account, our expression would be 10000-1200x, since he withdraws $1200 from his account each year, and he begins with $10,000.

The formula for simple interest is:
I=prt
where:
p is the principal, r is the rate and t is the time

using our information, we have
p=2000,
r=8%=8/100=0.08, and
t=x.

This gives us 2000(0.08)(x).
However, we must add the $2000 to this (interest is added on to the principal); this gives us:
2000+2000(0.08)(x).

Setting these two equal, we have:
10000-1200x = 2000+2000(0.08)(x).

Simplifying the right hand side, we have:
10000-1200x=2000+160x.

Add 1200x to both sides:
10000-1200x+1200x=2000+160x+2000x;
10000=2000+1360x.

Subtract 2000 from both sides:
10000-2000=2000+1360x-2000;
8000=1360x.

Divide both sides by 1360:
$(8000)/(1360) = (1360x)/(1360)$ ;
5.9=x.

Let x be the number of needed years.

1. He deposits $10,000 into his checking account and he will withdraw $1,200 from his checking account each year. Then after x years he will have $10,000-$1,200x in his checking account.

2. He deposits $2,000 into his savings account and his savings account earns 8% interest each year, then after x years he will have $\$2,000\cdot (1.08)^x.$