Solve the problem.
If $13,000 is borrowed at 5.8% simple interest for 10 years, how much interest will be paid for the loan?​

Answer:

[tex]\$ 2.70\times 10^{12}[/tex]

Step-by-step explanation:

Complete question is here: In 2010, the population in the United States will be about 3.09x10^8. Spending for health care will be  about $8754 per person. About how much will the US spend on health care in 2010? Write in scientific  notation and round to the nearest hundred.

Given: Per person expenditure on healthcare is $8754.

          Total population in 2010 is 3.09x10^8.

Now, lets find out total money U.S will spend on health care.

[tex]\textrm{Total population} \times amount\ spent\ per\ person\ on\ healthcare}[/tex]

= [tex]8754\times 3.09\times 10^{8} = 27049.96\times 10^{8}[/tex]

= [tex]\$ 2.705\times 10^{12}[/tex] ≅ [tex]\$ 2.70\times 10^{12}[/tex]

∴ In 2010, U.S will spend [tex]\$ 2.70\times 10^{12}[/tex] on health care.

Answer:

about $2.70 × 1012

Step-by-step explanation:

$8754(3.09 × 108)

= $27,049.86 × 108

≈ $2.70 × 1012

[tex]\bf \begin{array}{cll} \stackrel{ordinal}{position}&\stackrel{term}{value}\\ \cline{1-2} 1&12\\ 2&12+d\\ 3&12+d+d\\ 4&12+d+d+d\\ &12+3d \end{array}\qquad \implies ~\hfill \begin{array}{llll} \stackrel{\textit{4th term}}{12+3d}~~=~~\stackrel{\textit{4th value}}{3}\\\\ 3d=-9\implies d = \cfrac{-9}{3}\\\\ \stackrel{\textit{common difference}}{d = -3} \end{array}[/tex]

well, we know the common difference is -3, to go from the 4th term to the 8th term, we need to add "d" 4 times or namely 3+4(-3), likewise to go from the 13th term to the 19th term we have to add "d" 6 times, or namely -24 + 6(-3).

[tex]\bf \stackrel{\textit{8th term}}{3+4(-3)}\implies 3-12\implies -9 \\\\\\ \stackrel{\textit{19th term}}{-24 + 6(-3)}\implies -24-18\implies -42[/tex]

Answer:

9/5

Step-by-step explanation:

1 2/3=5/3

3/(5/3)=(3/1)(3/5)=9/5

Answer:

50%

Step-by-step explanation:

cause 50% is 1/2 and 1/2 of 20 is 10

Answer: 50%

Step-by-step explanation:

10 is half of 20.

Half converted to a percent is 50%

Answer:

y= 12x+5 and It would be 10 days.

Step-by-step explanation:

Y= total

+5 = each rental

X= # of days

125= 12x+5; x=10

The equation to determine the cost of renting a chainsaw for x days is y = 12x + 5. For a cost of $125, one can rent the chainsaw for 10 days.

To write an equation for the number of dollars (y) that must be paid to rent a chainsaw for x days, take into account the daily rental fee and the one-time sharpening fee. The daily rental fee is $12, and there is an additional one-time sharpening fee of $5 for each rental. The total cost y is therefore the sum of the daily rental fees for x days and the sharpening fee.

The equation is:

y = 12x + 5

To find out how many days one can rent a chainsaw for a cost of $125, we can set y equal to $125 and solve for x:

125 = 12x + 5

Subtract 5 from both sides to get:

120 = 12x

Divide both sides by 12 to solve for x:

x = 10

Therefore, one can rent a chainsaw for 10 days at a cost of $125.

Answer:

1.  [tex]2 \times 10^{- 4} = 2 \div 10^{4}[/tex]

2. [tex](- 10)^{2} = 100[/tex] and [tex]- 10^{2} = - 100[/tex]

3. [tex](a.b.c. ........)^{n} = a^{n}.b^{n}.c^{n}. ..........[/tex]

Example:  [tex](30)^{4} = (2 \times 3 \times 5)^{4} = 2^{4} \times  3^{4} \times 5^{4}[/tex]

Step-by-step explanation:

1. We have [tex]2 \times 10^{- 4}[/tex], and we have to prove that this term is equivalent to [tex]2 \div 10^{4}[/tex].

Now, [tex]2 \times 10^{- 4}[/tex]

= [tex]2 \times \frac{1}{10^{4} }[/tex]  

{Since we know the property of exponent as [tex]a^{- b} = \frac{1}{a^{b} }[/tex] }

= [tex]\frac{2}{10^{4} }[/tex]

= [tex]2 \div 10^{4}[/tex]

2. [tex](- 10)^{2} = (- 10) \times (- 10) = 100[/tex] and  

[tex]- 10^{2} = - [(10) \times (10)] = - 100[/tex]

3. The power of products property gives

[tex](a.b.c. ........)^{n} = a^{n}.b^{n}.c^{n}. ..........[/tex] ........ (1)

For example, we can write, [tex](30)^{4} = (2 \times 3 \times 5)^{4} = 2^{4} \times  3^{4} \times 5^{4} = 810000[/tex]

Answer:

$18.50

Step-by-step explanation:

.37×50 = 18.5

$18.50

Answer:

$18.50

Step-by-step explanation:

GIven

1 stamp ----> $0.37

50 stamps ------> $0.37 x 50 = $18.50

Answer:

The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Total of megabytes of date used = x

Total monthly charges = y

x₁ = 50 Megabytes, x₂ = 100 Megabytes

y₁ = US$ 95, y₂ = US$ 120

2. Let's find out the best description of the steps to draw the graph and the slope.

Slope = (y₂ - y₁)/ (x ₂- x₁)

Slope = 120 - 95/ 100 - 50

Slope = 25/50 = 1/2 = 0.50

Remember that the coordinates of the points in the line are written this way:

(x, y) ⇒ (Total of megabytes of date used, Total monthly charges)

The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50

Answer:

a

Step-by-step explanation:

100% on test

Answer:

8000

Step-by-step explanation:

Answer: The profit is $3300

Step-by-step explanation:

The data we have is:

They charge $40 per hour.

In january, the charged for 200 hours.

The expenses are:

rent $4000

electricity $325

advertising $375

if we want to know the balance we must calculate:

The total expenses are: $4000 + $325 + $375 = $4700

The amount that they won is: $40*200 = $8000

Then the profit will be:

P = $40*200 - ($4000 + $325 + $375) = $8000 - $4700 = $3300

Answer:1/4

Step-by-step explanation:

11/12 - 2/3

22/24 - 16/24 =6/24= 1/4

Answer:

About 9.5 meters tall. Make sure to include the meters and the wiggly equal sign indicating about

Step-by-step explanation:

This is just a ratio

1.66:3.5 = 4.5:x

Cross multiply

1.66x = 15.75

Divide by 1.66 on both sides

x = about 9.5

Answer:

He will order 72 pairs of high tops

Explanation:

Given the store owner sells two pairs of running shoes for each pair of high tops

For every pair of high tops, he sells 2 pairs of running shoes

1 high top = 2 running shoes

He has planned to order 144 pairs of shoes

Therefore, 144 pair of running shoes = 144/2 = 72 pairs of high tops

Therefore, he will order 72 pairs of high tops

Answer:

72

Step-by-step explanation:

Answer: 16 m

Step-by-step explanation:

We have the following data:

[tex]V=25 m/s[/tex] is the velocity of the object moving in uniform circular motion

[tex]t=1 s[/tex] is the time it takes to the object to go [tex]\frac{1}{4}[/tex] of a complete circle

We need to find the radius [tex]r[/tex] of the circle, and this can be found by the following equation:

[tex]V=\frac{2 \pi r}{T}[/tex] (1)

Where [tex]2 \pi r[/tex] is the circumference of the circle and [tex]T=4 t=4(1 s)[/tex] is the period for a complete circle.

Hence, isolating [tex]r[/tex] we have:

[tex]r=\frac{V T}{2 \pi}[/tex] (2)

[tex]r=\frac{(25 m/s)(4 s)}{2 \pi}[/tex] (3)

Finally:

[tex]r=15.9 m \approx 16 m[/tex] (4)

Answer:

70 would be the answer to this question....apparently.

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

25 divided by 1750 = 70

subtract 1750 to 175 =

00 subtract 00 = 00

overall 70 is your answer in long division

Answer:

simplify the expression:  2x+2

Step-by-step explanation:

The equivalent expression of the given expression is is 2 + 2x

To solve this expression, we should simply proceed to multiply the value outside the bracket and simplify.

steps required;

This is done to add up or subtract similar or like values with each other.

[tex]\frac{1}{5}(15+10x-5)=\frac{1}{5}(15-5+10x)=\frac{1}{5}(10+10x)\\[/tex]

Multiply the entire value inside the bracket by 1/5.

[tex]\frac{1}{5}(10+10x)=2+2x[/tex]

This is the simplified expression of what we are given.

The equivalent expression is 2 + 2x.

Learn more about expressions here;

https://brainly.com/question/2972832

Answer:

1

Step-by-step explanation:

Greatest Common Factor is the highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.

No number (except 1) is divisible by both 35, 15, and 3. Therefore, the GCF is 1.

Answer:

35: 5×7               GCF: 5×3=15

15:  5×3

 3:  1×3

Step-by-step explanation:

 35               15              3

/     \            /    \           /    \

5 × 7         3  ×  5        1  ×  3

Answer:

140 ft

Step-by-step explanation:

Answer:

[tex]0.035\times 10^{3}[/tex]

Step-by-step explanation:

Given: The value of 0.035

Now, as we know 0.035 has three decimal place which mean if we multiply by 1000 then we have the product 35 which is greater than 1 and less than 100, however if we multiply 0.035 by 10000 then the output will be greater than 100, which is invalid.

Lets us use hit and trail method.

[tex]0.035\times 1000 = 35 < 100\\\\0.035\times 10000= 350 >100[/tex]

Now lets put the value in expression

[tex]0.035\times 10^{3}[/tex]

There are total 168 legs.

Given, 7 bees 5 cockroaches 8 spiders 4 deer 4 boars.

We have to calculate the total number of legs.

Since, 1 bees has 6 legs, so 7 bees has in total [tex](7\times 6=42)[/tex] legs.

1 cockroach has also 6 legs, so 5 cockroach has in total of [tex](6\times 5=30)[/tex] legs.

1 spider has 8 legs so 8 spider has in total of [tex](8\times 8=64)[/tex] legs.

1 deer has 4 legs so 4 deer has in total of 16 legs.

1 boar has 4 legs so 4 boars has in total of 16 legs.

Hence the total number of legs the above animal has will be,

[tex]42+30+64+16+16=168[/tex] legs.

Therefore, There are total 168 legs.

For more details on unitary method follow the link:

https://brainly.com/question/12116123

Answer:

9261

Step-by-step explanation:

the problem is payed out like this formula

x² = 441

you take the square root of 441 to find x which is 21 and then you just take cubic of 21 which is 9261

Answer:

9261

Step-by-step explanation:

x² = 441  

you take the square root of 441 to find x which is 21 and then you just take cubic of 21 which is 9261

Answer:

C.

Step-by-step explanation:

So how I would estimate is by see that each piece is going to be 1 and 1/6 but you have 6 and 7/8 feet of plywood so 1 can go into 6 six times but since you got that 1/6 for each piece is lower it down do about 4, so he can make about four. lol

Answer: Cam can make 4 shelves.

Step-by-step explanation:

Answer: [tex]300\ Kg[/tex]

Step-by-step explanation:

Let be "x" the amount of butter (in kilograms) that the bakery used this month.

You need to divide the percentage by 100 in order to write it in decimal form. This is:

[tex]\frac{25}{100}=0.25[/tex]

According to the data given in the exercise, the total amount of butter they used last month is 240 kilograms.

Since 25% more butter was used this month than last month, you can write the folllowing equation:

[tex]x=240+(240 )(0.25)[/tex]

Evaluating, you get that the value of "x" is:

[tex]x=240+60\\\\x=300[/tex]

Therefore, the bakery used 300 kilograms of butter this month.

Final answer:

The bakery used 300 kg butter this month.

Explanation:

If a bakery used 25% more butter this month than last month and it used 240 kg of butter last month, then to calculate the amount of butter used this month, we need to add an additional 25% to the amount from last month. To find 25% of 240 kg, you multiply 240 kg by 0.25 (since 25% is the same as 0.25 when expressed as a decimal).

25% of 240 kg = 240 kg × 0.25 = 60 kg

Now, we add that 60 kg to the original 240 kg to find the total amount of butter used this month.

Total amount of butter used this month = 240 kg + 60 kg = 300 kg.

Therefore, the bakery used 300 kg of butter this month.

Answer:

D

Step-by-step explanation:

Quadratic has a general form of:

[tex]ax^2 + bx + c = 0[/tex]

The quadratic given here is:

[tex]y = x^2 + 3x + 1[/tex]

Matching it with the general form, we can see that:

a = 1 [coefficient of x^2]

b = 3

c = 1

Now, if we look at the formula for axis of symmetry, we can easily solve this out. The axis of symmetry is given by:

Axis of Symmetry is  [tex]x=-\frac{b}{2a}[/tex]

We know a = 1 and b = 3, so we have:

[tex]x=-\frac{b}{2a}\\x=-\frac{3}{2(1)}\\x=-\frac{3}{2}[/tex]

Hence,

D is the correct answer.

Answer:

is D

Step-by-step explanation:

Answer:

$4.86

Step-by-step explanation:

2.97/11 =.27                 .27 x 18= 4.86

Answer:

4.86

Step-by-step explanation

Answer:

do u still need help??

Step-by-step explanation:

Answer:

5.603 g H2

Step-by-step explanation:

 M(NH3) = 14 + 1*3 = 17 g/mol

M(H2) = 2*1 = 2 g/mol

                        3H2 + N2 ----->   2NH3

from reaction   3 mol                  2 mol

from reaction    3*2 g                  2*17 g

given                    x g                   31.75 g

We can write a proportion.

(3*2)/x = 2*17/31.75

(2*17)x = (3*2)*31.75

x = (3*2)*31.75/(2*17) = 3*31.75/17 =5.603 g H2

The solution to the linear equation d – 10 – 2d + 7 = 8 + d – 10 – 3d is d = 1.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

d – 10 – 2d + 7 = 8 + d – 10 – 3d

Simplifying:

-d - 3 = -2d - 2

Collecting like terms:

-d + 2d = -2 + 3

d = 1

The solution to the linear equation d – 10 – 2d + 7 = 8 + d – 10 – 3d is d = 1.

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

3+(axb)

Step-by-step explanation:

The algebraic representation of the expression The sum of 3 times a and b is 3a + b

From the question, we have the following parameters that can be used in our computation:

The sum of 3 times a and b

By definiton:

sum means plus

Using the above as a guide, we have the following:

3 * a + b

When solved, we have

3a + b

Read mroe about expressions at

brainly.com/question/30492964

#SPJ3

Question

Translate the sentence into an algebraic expression

The sum of 3 times a and b

Answer:

0.04

Step-by-step explanation:

0.0398

when rounding if its over 5 you round up if its under you round down

The number 0.0398 rounded to the nearest cent; is 0.04.

According to the question;

To round off to the nearest cent;

We must know that cents is synonym for Hundredths;

Consequently; 0.0398 rounded to the nearest cent is 0.4

Read more:

https://brainly.com/question/21938149