Answer:
93,000,000
Step-by-step explanation:
9.3x10^7
since the 10 has the ^7 on it, you move the decimal over 7 spots.
School fees for a popular high school have been increasing by 9.5% per year. When Antoinette started the school, the annual fees were $6230. By the time Antoinette leaves the school 8 years later, how much have her parents paid in school fees in total? Give your answer to the nearest $100.
Answer:
Antoinette's parents paid $ 70000 by the time she left the school.
Step-by-step explanation:
Antoinette's parents paid at the beginning ([tex]t = 0[/tex]) $ 6230, and each year paid annual fees including increases seven times. ([tex]0 <t \leq 7[/tex]) We find that annual fee paid at a given year is represented by the following formula:
[tex]C(t) = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex]
Where:
[tex]C_{o}[/tex] - Initial annual fees, measured in US dollars.
[tex]C(t)[/tex] - Current annual fees, measured in US dollars.
[tex]r[/tex] - Yearly increase rate, dimensionless.
If we know that [tex]C_{o} = \$\,6230[/tex] and [tex]r =9.5[/tex], first 8 annual fees paid by Antoinette's parents are:
[tex]C(0) = \$\,6230[/tex]
[tex]C(1) =\$\,6821.85[/tex]
[tex]C(2) = \$\,7469.93[/tex]
[tex]C(3) = \$\,8179.57[/tex]
[tex]C(4) = \$\,8956.63[/tex]
[tex]C(5) = \$\,9807.51[/tex]
[tex]C(6) = \$\,10739.22[/tex]
[tex]C(7) = \$\,11759.45[/tex]
Now, we sum each yearly fees to determine the total paid by Antoinette's parents when she leaves the school at the end of the 8th year.
[tex]C_{T} = C(0) +C(1)+C(2) + C(3)+C(4)+C(5)+C(6)+C(7)[/tex]
[tex]C_{T} = \$\,6230+\$\,6821.85+\$\,7469.93+\$\,8179.57+\$\,8956.63+\$\,9807.51+\$\,10739.22+\$\,11759.45[/tex]
[tex]C_{T} = \$\,69964.16[/tex]
Antoinette's parents paid $ 70000 by the time she left the school.
What is the solution to the equation
5(x-2)-(x+3)=x-8
Answer:
5(x-2)-(X+3)=x-8
5x-10-x-3=x-8
4x-13=x-8
4x-x=(-8)+13
3x=5
X=5/3
hope you like the answer
please mark the answer as brainliest
Answer:
-5
Step-by-step explanation:
On Monday,447 students went on a trip to the zoo. All 9 buses were filled and 6 students had to travel in cars. How many students were in each bus ?
Answer:
There would be 8 people in each bus.
Step-by-step explanation:
Answer:
49 students in each bus
Step-by-step explanation:
how do you do least from greatest in decimals and greatest from least too....
what ever is bigger So if 12 and 20 which is bigger 20
CAN SOMEONE PLS HELP WITH THIS ASAP!!
Answer:
What is it?
Step-by-step explanation:
Tom has a faulty light switch. If he calls an electrician to come and fix it, the electrician will
charge him $65 for the house call plus $60 per hour for parts and labor. Tom wants to spend no
more than $100 to repair the switch. The electrician estimates it will take her half an hour to fix
the switch. Should Tom hire her?
Answer:
yes.
Step-by-step explanation:
tom should hire the electrition to get his light fixed even though it will go 25 dollars over his budget.
Please answer all questions
Answer:
1, D
2,D
3,B
hopefully this helps you! I'm not too sure but sure enough :)
steps:
1. The answer is none of the above because if you multiply for example 51 x 10 8 it'd be 51 x 80 which is not the answer because 51 x 80 is 4080 which is not 510 000 000.
2. The answer is none of the above because if you divide 0.0763/1.85+4.7x8 it would equal 37.6 which unfortunately isn't an answer above.
3. Finally the answer for this one is B because if you have 8/9 - 5/7 it would equal 11/63 I subtracted 8 and 9 and made sure the bottom numbers were the same, and I simplified.
hopefully THIS helps you?
Find the slope of the line y = -8x + 1.
Answer:
Slope is -8
Step-by-step explanation:
The slope is the number in front of x.
Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)
a. x = 1 1/2
b. x = 1 1/4
c. x = -1 1/4
d. x = -1 1/2
Answer:
A. x=1 1/12
Step-by-step explanation:
8x+8-3x-12=14-7x
5x-4=14-7x
5x+7x=14+4
12x=18
x=18/12
x=1 1/2
Answer:
1 1/12
Step-by-step explanation:
A teacher wants to buy supplies to make kits for students that each contains a pencil, a pen, an eraser, and a notebook. Write and solve an equation to find the greatest number of kits the teacher can make by spending $35. Explain your reasoning.
The pencils cost $0.10
The pens cost $0.25
The poster boards cost $1.50
The notebooks cost $ 3.00
The erasers cast $0.10
How many of each can the teacher by with the $ 35.
Answer: 7
Step-by-step explanation:
3. During last season, Fairfield Farms sold strawberries as follows: 800 boxes at $1.25/box in the early part of the season; 1600 boxes at $0.90/box and 2000 boxes at $0.75/box at the height of the season, and 600 boxes at $1.10/box during the late season. a) What was the average price charged? (b) What was the average price per box?
a)
Average price charged :
[tex]P=\dfrac{1.25+0.90+0.75+1.10}{4}\\\\P=\$1[/tex]
b)
Total income, T =$ 800×1.25 + 1600×0.90 + 2000×0.75 + 600×1.10
T = $4600 .
Total number of box, n = 800 + 1600 + 2000 + 600 = 5000.
Average price per box, [tex]A=\dfrac{4600}{5000}=\$0.92/box[/tex] .
Hence, this is the required solution.
Philip writes 2 pages per hour. How many hours will Philip have to spend writing this week
in order to have written a total of 16 pages?
Answer:
8 hours
Step-by-step explanation:
If he writes 2 pages a hour and needs 16 pages, then you would have to divide 16 by 2 which is 8.
To double check that, you can multiply 8 by 2 which is 16.
You answer is 5 hours.
Answer:
8 hours.
Step-by-step explanation: We must Multiply! 2x1=1 2x2=4 2x3=6 2x4=8 2x5=10 2x6=12 2x7=14 2x8=16! We could also divide as well ! 16 divided by 2= 8! We have a grand total of 8 Hours! I Hope this was helpful!
Four times the sum of f and g is identical to six times g.
Answer:
4 * f + g = 6g
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Answer: 4(f+g)=6g
Step-by-step explanation:
mary robertson sells tires at a large car service center. She earns 10% commission on the first $1000.15 percent on the next $2000 and 20% on sales for more than $3000 last week she sold $3400 worth of tires what is her total commission
Answer:
$1530 = 45% commission
Step-by-step explanation:
First, jot down the important facts:
• first $1000 = 10% comm.
• next $2000 = 15% comm.
• total more than $3000 = 20% comm.
• total comm. = $3400
Then, go in order with your jotted facts to withdraw the total commission amount. Here's what I mean:
$3400 ← total is more than $3000 = +20% comm.
- $1000 ← the first $1000 = +10% comm.
$2400
- $2000 ← the next $2000 = +15% comm.
$400
Then, add together the commission percentages:
20% + 10% + 15% = 45% comm.
Convert the percentage to a decimal:
45% × 100 = 0.45
And multiply it with the total amount to find the commission amount:
$3400 × 0.45 = $1530
what is the ratio of 50 and 10
Answer:
5:1
Step-by-step explanation:
10 the greatest common factor.
50 divided by 10 is 5
10 divided by 10 is one
5 comes first then 1.
Answer:
5:1
Step-by-step explanation:
50 to 10 is the same thing as 50:10To simplify, find the LCM of each number, which is 10: 50 ÷ 10 = 5, 10 ÷ 10 = 1Re-write the ratio: 5:1I hope this helps!
14. In order for Carlton's Car Dealership to make a profit, it must mark up the dealer price of cars by 14%. After the increase, a new sedan at Carl's Car Dealership is marked to sell for $14,600. What is the dealer price of the sedan? F. $12,807 G. $12,556 H. $13,114 J. $13,200 K. $14,586
Answer:
14586 i think
Step-by-step explanation:
14,600-14%= 729993/50
simplify you get 14599 43/50
pic the closest answer
how can you solve quadratic equation in one variable using quadratic formula?
Answer:
Step-by-step explanation:
Here are the steps required to solve a quadratic using the quadratic formula:
Example 1 – Solve: x²-8x+14=0
Step 1: Identify a, b, and c and plug them into the quadratic formula. In this case a = 1, b = –8, and c = 14.
Step 2: Use the order of operations to simplify the quadratic formula.
Step 3: Simplify the radical, if you can. In this case you can simply the radical into:
Step 4: Reduce the problem, if you can. In this case you can reduce the entire problem by 2.
What equation can janet use to calculate the principles amount?
It is a try it problem
How exactly would I find a slope to a graph?
Answer:
If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units).
Step-by-step explanation:
Answer:
Most people would do it by subtracting your 2 y points (any points) and dividing the by the two x points. Basically, y2-y1/x2-x1. Hoped I could help you on this one.
Step-by-step explanation:
What is the value of the expression when
X = 5
32X - 4) - X
Answer:151
Step-by-step explanation:
Answer:
151
Step-by-step explanation:
A new vehicle is worth $2500. If it depreciates records in value 12% per year, after 6 years what will it be worth
Answer:
Step-by-step explanation:
2500 - 12%
12% of 2500 = 300
2500 - 300 = 2200
12% of 2200 = 264
2200-264=1936
Repeat another 4 times
Solve for x. (1 point) −3x + 2b > 8 x < the quantity negative 2 times b plus 8 all over negative 3 x > the quantity negative 2 times b plus 8 all over negative 3 x < the quantity 2 times b minus 8 all over negative 3 x > the quantity negative 2 times b minus 8 all over 3
Given:
[tex]-3x+2b>8[/tex]
To find:
The value of x.
Solution:
We have,
[tex]-3x+2b>8[/tex]
To find the value of x, we need to isolate x on one side.
Subtract 2b from both sides.
[tex]-3x>8-2b[/tex]
Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.
[tex]\dfrac{-3x}{-3}<\dfrac{8-2b}{-3}[/tex]
[tex]x<\dfrac{-2b+8}{-3}[/tex]
The required inequality for x is [tex]x<\dfrac{-2b+8}{-3}[/tex].
Therefore, the correct option is A.
Round 43,628 to the thousands place. 40,000 43,600 43,000 44,000
Answer:
44,000
Step-by-step explanation:
did I did right.
A square has an area of 200 square feet. Between which two consecutive integers would the length of each side fall? *
A.) 12 and 14
B.) 13 and 14
C.) 14 and 15
D.) 15 and 16
Answer:
B (My guess)
Step-by-step explanation:
What is the equation of the line that passes through the point (6, -1) and has a
slope of 1?
Answer:
y = x – 7
Step-by-step explanation:
Answer:
y= x -7
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c (also known as slope-intercept form), where m is the gradient and c is the y-intercept.
Given that the slope is 1, m= 1.
Substitute the value of m into the equation:
y= 1x +c
y= x +c
To find the value of c, substitute a pair of coordinates.
When x= 6, y= -1,
-1= 6 +c
c= -1 -6 (-6 on both sides)
c= -7
Thus, the equation of the line is y= x -7.
I need to find out the value of x in this triangle because I don’t understand the formula
Answer:
x = 55 degrees
Step-by-step explanation:
Firstly, as told by the question, we know that this is an isosceles triangle because AB and BC are the same length. This means that angle A and C will be equal. Next, we also know that all angles in a triangle will always add to 180 degrees. Therefore we can write an equation adding up all the angles to solve for x:
Angle A can be represented as 'x'
Angle B is represented 'x+15'
And Angle C can also be represented 'x' as it is equal to angle A
So our formula will be in this format: A+B+C=180
x+x+(x+15)=180
To solve this equation we first take out the brackets and combine like terms:
3x+15=180
Now we need to isolate 'x' so we will end up with a numerical value for it, which we do by subtracting 15 from both sides and then dividing both sides by 3:
3x+15-15=180-15
3x=165
3x/3=165/3
This gives us:
x=55
Hope this helped!
what is 505 times 117
Answer:
Step-by-step explanation:
59 085
Selene's checking account balance was -$27, and then she withdrew $43 more. What is her checking account balance after the withdrawal?
Answer:
-$70
Step-by-step explanation:
Please help with explanation thank you.
Answer:
B
Step-by-step explanation:
Let me know how you did
A farmer has a field that 40 yards long by 20 yards wide what is the total area of the field
Answer:
2400
Step-by-step explanation:
A= length x width
A=40x20
A=2400
Answer:
800
Step-by-step explanation:
40 times 20=800