$970 at 4 1/4% simple interest for 2 years

Answers

Answer 1
Answer: For simple interest 
i=prn
where i= interest p=amount invested, r=rate n=time period
i= 970*4 and 1/4 * 2
i= $8245

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(1.5 X 10-2) (8.0 X 10-1)

a moving company charges a flat rate of $85 plus and additional $0.17 per mile driven. How far must the company drive to earn at least $100? Round to the nearest mile.

Answers

Answer:

Atleast 88 miles

Step-by-step explanation:

We are given that

A moving company charges a flat rate=$85

Cost of 1 mile driven=$0.17

We have to find the distance drive by the company to earn at least $100.

Let x  mile drive by company .

According to question

85+0.17x\geq 100

Subtract 85  on both sides of inequality

85+0.17x-85\geq 100-85

0.17x\geq 15

Divide by 0.17 on both sides

x\geq (15)/(0.17)

x\geq 88.23

x\geq 88 (round to nearest mile)

Hence, the company must drive atleast  88 miles to earn atleast $100.

They get $85 for just getting in the truck and starting the engine.

To earn $100, they need another $15 for mileage.

$15 / 0.17 = 88.2 miles

Rounded to the nearest mile, it's 88 miles (but that still leaves them 4¢ short).

Ozzie is 6 years older than McKenzie. Theo is Ozzie's dad and is 3 times older than McKenzie. Ozzie is 8 years old. How old is Theo?​

Answers

Answer:

If Ozzie is 8 and 6 years older than McKenzie, then McKenzie is 2 years old. So if Theo is 3 times older than McKenzie, then Theo is 6 years old.

Final answer:

Theo's age is calculated by multiplying McKenzie's age by 3. Given that McKenzie is 2 years old (Ozzie's age minus 6), so Theo is 6 years old.

Explanation:

The problem requires the application of basic arithmetic operations, specifically addition and multiplication, to solve an age problem. We know that Ozzie is 8 years old. Since Ozzie is 6 years older than McKenzie, we subtract 6 from Ozzie's age to get McKenzie's age, which is 2. Theo is 3 times older than McKenzie. Thus, to get Theo's age, we multiply McKenzie's age (2) by 3, which results in 6 years old.

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Maggie has 7 tiles with pictures of plants and 2 tiles with pictures of animals. Maggie keeps all the tiles on a mat with the pictures hidden and mixes them up. She then turns one tile face up and finds the picture of a plant on it. She removes this tile from the mat and turns over another tile without looking. What is the probability that the second tile that Maggie turns over has a plant on it? 22.2%
28.6%
65.0%
75.0%

Answers

Answer: The probability that the second tile that Maggie turns over has a plant on it, is 75.0 %.

Step-by-step explanation:

We have,

Number of tiles with pictures of plants = 7

And, number of tiles with pictures of animals = 2,

⇒ Total numbers of tiles = 7 + 2 = 9,

After removing one picture of plant tile,

The remaining number of plant tiles = 7 - 1 = 6,

And, total numbers of remaining tiles = 9 - 1 = 8.

Since,

\text{ The probability of plant tile in second trial}=\frac{\text{Remaining plant tiles}}{\text{Total remaining tiles}}

=(6)/(8)

=0.75 = 75\%     (Because, 0.01 = 1% ⇒ 0.75 = 75% )

Thus, the probability that the second tile that Maggie turns over has a plant on it, is 75.0 %.

7 tiles with plants and 2 tiles with animals...total of 9 tiles

she flips a plant tile, and does not replace it.

probability that 2nd tile is a plant = 6/8 = 0.75 = 75%


Set up a proportion to solve for x in the following similar triangles.

Answers

Final answer:

The correct option is d.

To solve for x in similar triangles ABC and PQR, set up the proportion AB/PQ = DC/QR and solve for x.

Explanation:

To set up the proportion to solve for x in similar triangles ABC and PQR, we need to compare the corresponding sides. AB corresponds to PQ, so we can set up the proportion as follows:

AB/PQ = DC/QR

Substituting the given values, the proportion becomes:

18/12 = 24/(x-2)

Simplifying further, we can solve for x by cross multiplying and solving the resulting equation.

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The complete question is given below:

It is given that two triangles are similar, ABC and PQR. AB= 18 units and DC= 24 units. PQ= 12 units and QR= x-2 units. Set up a proportion to solve for x in the following similar triangles.

a. 18/24 = (x-2)/12

b. 18/12 = (x-2)/24

c. 18/12 = 24/(x-2)

d. 18/12 = 24/x - 2

Answer:

C

Step-by-step explanation:

I took the quiz and it was C! Hope this helps :)

Elliott has 4 columns of marbles. He has 3 marbles in each column. How many marbles does he have in all? *

Answers

Answer:

3*4=12

Step-by-step explanation:

the answer is 12

Final answer:

To find out how many marbles Elliott has in total, we multiply the number of columns by the number of marbles in each column, resulting in 12 marbles in total.

Explanation:

To find out how many marbles Elliott has in total, we can multiply the number of columns by the number of marbles in each column. In this case, Elliott has 4 columns with 3 marbles in each column. So, we can calculate the total number of marbles by multiplying 4 and 3, which equals 12. Therefore, Elliott has 12 marbles in total.

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If gas cost $3.00 per gallon, what factors will determine how much gas you purchase?

Answers

Answer:

If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.

Hope this helps!

Final answer:

The amount of gas you purchase at $3.00 per gallon depends on personal budget, distance of commute, and the efficiency of your vehicle. Changes in supply and demand for crude oil may also affect these decisions.

Explanation:

The determination of how much gas you purchase when the price is $3.00 per gallon depends on several factors. Personal budget makes a significant impact. If you have a limited budget, you might opt to purchase less gas, or drive less frequently.

 

The distance of your commute also plays a role. Longer commutes generally require more gasoline, leading to higher fuel expenses. On the other hand, if your commute is short or you use public transportation, you'll likely buy less gas.

 

Another influential factor is the efficiency of your vehicle. Cars that consume less fuel per mile will use less gas, which in turn, mean less trips to the gas station. Furthermore, a general increase in gasoline supply or decrease in the demand for crude oil, like in the summer months, could also affect your gasoline purchase decision.

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