Michelle went on a hike she started on the trail at 6:45 a.m. and returned at 3:28 p.m. how long did she hike

Answers

Answer 1
Answer: 8 hours and 43 minutes

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What factor makes the number sentence true 7×4 = ?×7

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The answer is 4. According to the commutative property, you can commutate (swap) numbers over and get the same result. However, it only works for addition and multiplication. For instance, x + y = y + x. Or, x * y = y * x. In our example, we have 7 * 4 = ? * 7. Because we already have 7 on the right side of the expression, the missing number will be 4.

A person invests 7500 dollars in a bank. The bank pays 6% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 16200 dollars?

Answers

Answer:

13.0\ years  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+(r)/(n))^(nt)  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=?\ years\n P=\$7,500\n r=0.06\nn=2\n A=\$16,200  

substitute in the formula above  

16,200=7,500(1+(0.06)/(2))^(2t)  

(2.16)=(1.03)^(2t)  

Apply log both sides

log(2.16)=(2t)log(1.03)  

t=log(2.16)/[(2)log(1.03)]  

t=13.0\ years  

1.The population of the world is approximately 6200 million people. It is increasing by approximately 93 million people each year.Use this information to calculate the percentage increase in the population over a year.2. Mike says, ‘An increase of 93 million people each year is more than 170 people each minute’.Show that he is correct.

Answers

The fraction can simplify down to (93)/(6200) convert it to a fraction and the yearly increase is 1.5%

2. Well on average there are 365 days in a year. Dividing 93 million by 365 will get your increase per day. 
There are 24 hours in a day, so that figure is further divided by 24.
There are also 60 minutes in an hour therefore furthermore divided by 60.
= 176 therefore true

A textbook costs $16.50 plus tax. After sales tax, the book costs $17.49. What is the sales tax rate?

Answers

Answer:

.06 or 6%

Step-by-step explanation:

you need to do 17.49-16.50=.99

then .99/16.50=.06

have a nice day

Final answer:

The sales tax rate is approximately 6.00%, calculated by subtracting the original price from the total price to get the sales tax amount, then dividing that by the original price and multiplying by 100.

Explanation:

To determine the sales tax rate, we first need to find the amount of sales tax. The amount of sales tax is the total price after tax ($17.49) minus the original price before tax ($16.50). This calculation gives us a sales tax amount of $0.99.

Next, we calculate the sales tax rate by dividing the sales tax amount by the original price before tax and then multiply the resulting number by 100 to get the rate as a percentage. Using the numbers from our example, the calculation would be ($0.99/$16.50) * 100. This equals approximately 6.00%.

Learn more about Sales Tax Calculation here:

brainly.com/question/16200743

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Solve and check
7/8h-5/8=2

Answers

(7)/(8)h-(5 )/(8)=2 \ \ |+(5)/(8)\n \n(7)/(8)h=2+(5 )/(8)\n \n(7h)/(8)=(16)/(8)+(5 )/(8) \n \n(7h)/(8)=(21)/(8) \ \ / *8\n \n 7h=21 \ \ /:7 \ \ \n \nh=(21)/(7)\n \nh=3
(7)/(8)h-(5)/(8)=2

8((7)/(8)h-(5)/(8))=8(2)

7h-5=16

(7h)/(7)=(21)/(7)

h=3

Ishaan is 72 years old and William is 4 years old.How many years will it take until Ishaan is only 5 times as old as William?

Answers

Answer:

It will take 13 years until Ishaan is only 5 times as old as William.