Answer:
Transversal and Consecutive
Tom deposits $1000 into a savings account. That earns 5% simple interest. He has this account for 7 years. How much does it contain now?
Answer:
$1350
Step-by-step explanation:
5% of 1000 is 50
50x7 is 350
1000+350=1350
34.00 -A video game is on sale at Amazon for 35% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $21 each. They will have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game. Pat takes 35% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay. Henri finds 65% of the original price and then calculates 110% of the sale price. What is the sale price of the video game with tax? (1 point) Will Pat's strategy calculate the correct total? Explain the calculations. (2 points) Will Henri's strategy calculate the correct total? Explain the calculations. (2 points) Do they each have enough to purchase the game? (2 points) Explain your answers using complete sentences and show your work
Answer:
Sale price of video game with tax = $20.3775
Yes, they both have enough money to purchase the video game.
Step-by-step explanation:
Given that:
Original price of video game = $28.50
Discount on original price = 35%
Sales tax = 10%
Money available with Pat and Henri = $21 each
First of all, let us find out the price as per Pat's method.
Step 1:
Taking 35% of $28.50
[tex]\Rightarrow \dfrac{35}{100}\times \$28.50 = \$9.975[/tex]
Step 2:
Subtract from $28.50 to find the sale price:
$28.50 - $9.975 = $18.525
Step 3:
Take 10% of sale price:
[tex]\$18.525\times \dfrac{10}{100} = \$1.8525[/tex]
Step 4:
Add to sale price to get the final amount to be paid:
$18.525 + $1.8525 = $20.3775
Now, let us use Henri's method:
Step 1:
Find 65% of original price:
[tex]\dfrac{65}{100}\times $28.50 = \$18.525[/tex]
Step 2:
Find 110%:
[tex]\dfrac{110}{100}\times \$18.525 = \bold{\$20.3775}[/tex]
Sale price of video game with tax = $20.3775
Yes, they both have enough money to purchase the video game.
The FIRST ANSWER GETS BrAINLIEST
Answer:
me
Step-by-step explanation:
-3x + b = 6x, solve for x
Answer:
Your answer is: [tex]x=\frac{b}{9}[/tex]
or if you are solving for b: [tex]b=9x[/tex]
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
From the set {5, 7, 40}, use substitution to determine which value of x makes the equation true.
7(x + 35) = 280
A. 7
B. none of these
C. 40
D. 5
Please help me !!!!
Answer:
I am in middle school
Step-by-step explanation:
Answer:
D. 5
Step-by-step explanation:
7 (x + 35) = 280
x + 35 = 280/7
= 40
x = 40 - 35
= 5
So it the correct option is D. Sorry I am late!!
can someone please do all of these im marking brainliest !!!
Yes ofc, but I don’t see anything like a question or a picture of anything.
Right? Pls reply ASAP i need this before 11:45am in need pls hurry
Answer:
I think so.
Step-by-step explanation:
If you do the math 2(5-3) exponent 2 - 4 = 4
So if y is 4 you should be correct!
Thb I think you need to know the value of y to solve this question.
Yesterday, 15 guests at a hotel called for room service, and 105 guests did not call for room service. What percentage of the guests at this hotel called for room service yesterday?
what is 10 times 10 hurry
Answer:
100
Step-by-step explanation:
Pls mark brainliest
Ten times Ten is 100
Step-by-step explanation:
Does this help?
Determine the equation of the perpendicular bisector JK whose endpoints are J(-4,9) and K(6,1). Show all your work below. (Use of the grid is optional.)
Answer:
[tex]y=\frac{5}{4}x+\frac{15}{4}[/tex]
Step-by-step explanation:
Coordinates of segment with endpoints J and K are,
J(-4, 9) and K(6, 1)
Midpoint of the segment JK = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
= [tex](\frac{-4+6}{2},\frac{9+1}{2})[/tex]
= (1, 5)
Slope of JK, [tex](m_1)=\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{9-1}{-4-6}[/tex]
= [tex]-\frac{4}{5}[/tex]
Let the equation of perpendicular bisector passing through [tex](x_1,y_1)[/tex] and slope [tex]m_2[/tex] is,
[tex]y-y_1=m_2(x - x_1)[/tex]
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
[tex]-\frac{4}{5}\times m_2=-1[/tex]
[tex]m_2=\frac{5}{4}[/tex]
Therefore, equation of the line passing through midpoint (1, 5) and slope = [tex]\frac{5}{4}[/tex] will be,
[tex]y-5=\frac{5}{4}(x-1)[/tex]
[tex]y=\frac{5}{4}x-\frac{5}{4}+5[/tex]
[tex]y=\frac{5}{4}x+\frac{15}{4}[/tex]
Look at image please help me
What is the value of x
Answer:
x = 20
Step-by-step explanation:
Exterior angle theorem
Exterior angle = Interior opposite angle 1 + Interior opposite angle 2
(9x + 16)° = 90 + (5x - 14)°
9x + 16 = 90 + 5x - 14
9x - 5x = 90 - 14 - 16
4x = 90 - 30
4x/4 = 60/4
x = 20
can you find all the angles plz
Answer:
hmmmmm
Step-by-step explanation:
Describe the end behavior of the graph of each function.
-2
2
4
Answer:
it a shape of a w and nothing
Step-by-step explanation:
have some bubble tea
How much will 12 shirts cost?? Help!!
Answer:
I believe the answer would be 240
Step-by-step explanation:
If you divide 60 by 3 you will get 20 which is how much one sweatshirt will cost. Then you multiply 12 by 20 than you should get 240 which might be the answer. I hope that this is helpful and that you get it right.
Answer:
$240
Step-by-step explanation:
3 shirts cost $60
Take 3x4=12
Take $60x4= 240
There you have your answer.
You can also:
60÷3= 20
Each shirt cost $20
Take 12x20= 240
(That is how you will be able to solve the entire table if need be)
Hope this helps!
-AxekickNebulite
2. Simplify:
a. 2(4x + 5y)
b. -3(2x + 4y)
PLEASE HURRY
a. 2(4x + 5y)
(2×4)x + (2×5)y
= 8x + 10y
b. -3(2x + 4y)
(-3×2)x + (-3×4)y
= -6x - 12y
Maddelein deposited $750 into an investment account that earns 1.5% daily compounded interest after year how much money will be in the account
1285.37
You can use the formula for compound interest:
P(1+R)^t
P = the principle, the amount of money
(1+R) = the rate, (%) as a decimal plus 1
^t = to the power of the number of years
Substitute the values:
750(1+0.08)^7
750(1.08)^7
1285.37
Step-by-step explanation:
Courtney’s soccer team drank
20.5 bottles of juice after a game.
Each bottle contained 0.5 liters of
juice. How many liters of juice did
they drink in all? Show your work.
How did you know where to place
the decimal point? (6-3)
Answer:
10.25 liters
Step-by-step explanation:
the decimal goes between 10 and 25 because you multiply the .5 separately. hope this helped
[tex]\frac{3}{4}[/tex]
Answer:
0.75
Step-by-step explanation:
I really need help with this ... I hope someone can help!
9514 1404 393
Answer:
∠B = 53°
∠C = 127°
∠D = 127°
Step-by-step explanation:
The trapezoid is isosceles, as indicated by the hash marks on sides AD and BC. This means it is symmetrical about the vertical center-line. Angles on the right will have the same measures as the symmetrical angles on the left.
So, you know immediately that ∠B = ∠A = 53°.
Because AB ║ DC, ∠A and ∠D are supplementary. That is, ...
∠D = ∠C = 180° -53°
∠D = ∠C = 127°
What’s the answer yalll
What is .41 times as many acres as 16.1
Answer:
10 acres, which is a more easily identified measurement than 435,600 square feet. To use the area conversion calculator simply select the unit that you want to convert from, which will be the amount that is known.
Step-by-step explanation:
Use root test to determine the following series is convergent/divergent or inconclusive
By the root test, the series converges. We have
[tex]\displaystyle\lim_{k\to\infty}\sqrt[k]{\left|(-1)^k\frac{k^3}{3^k}\right|}=\lim_{k\to\infty}\frac{\sqrt[k]{k^3}}3=\frac13\lim_{k\to\infty}k^{\frac3k}=\frac13[/tex]
which is less than 1.
In case it's not clear why [tex]k^{3/k}[/tex] should converge to 1:
[tex]\displaystyle\lim_{k\to\infty}k^{\frac3k}=\lim_{k\to\infty}\exp\left(\ln k^{\frac3k}\right)=\exp\left(\lim_{k\to\infty}\frac{3\ln k}k\right)\to e^0=1[/tex]
HELP LOL whats the awnser
Answer:
(-4,-1)
Step-by-step explanation:
Solve the equation using the distributive property and properties of equality. -5(a+3) = -55 What is the value of a?
Answer:
its 8
Step-by-step explanation:
took the test
Consider this scenario: A town's population has been decreasing at a constant rate. In 2010 the population was 5,900. By 2013 the population had dropped to 5,000.
Assume this trend continues.
Predict the population in 2016.
Answer:
i i honesly dont know im really sorry
Step-by-step explanation:
A box containing 12 wooden soldier statues and 18 wooden angels statues. What is the probability of randomly pulling out a wooden soldier statue, replacing it and then pulling out wooden soldier statue again?
A box containing 12 wooden soldier statues and 18 wooden angels statues. What is the probability of randomly pulling out a wooden soldier statue, replacing it and then pulling out wooden soldier statue again?
A. 36%
B. 40%
C. 12%
D. 16%
the answer is d 16%.
had a quiz with this question it and got these one right
Sarah walked at a constant speed of 20 blocks per hour. If she walked for 30 minutes how many blocks did she walk?
Answer:
She walked 10 blocks
Step-by-step explanation:
Answer:
10 blocks
Explanation:
20 blocks ÷ 2 = 10 blocks
Place the values in increasing order
Suppose that two fair dice are rolled. Find the probability that the number on the first die is a 6 or the number on the second die is a 4.
Answer:
[tex]Probability = \frac{1}{36}[/tex]
Step-by-step explanation:
Given
Two fair dice
Required
Determine the probability that the outcomes is 6 on the first and 4 on the second
First, we need to write out the sample space of both:
[tex]S_1 = \{1,2,3,4,5,6\}[/tex]
[tex]n(S_1) = 6[/tex]
[tex]S_2 = \{1,2,3,4,5,6\}[/tex]
[tex]n(S_2) = 6[/tex]
Where S1 represents the first and S2, the second
The probability of outcome of 6 on the first is:
[tex]P(6) = \frac{n(6)}{n(S_1)}[/tex]
[tex]P(6) = \frac{1}{6}[/tex]
The probability of outcome of 4 on the second is:
[tex]P(4) = \frac{n(4)}{n(S_2)}[/tex]
[tex]P(4) = \frac{1}{6}[/tex]
So, the required probability is then calculated as:
[tex]Probability = P(6) * P(4)[/tex]
[tex]Probability = \frac{1}{6} *\frac{1}{6}[/tex]
[tex]Probability = \frac{1}{36}[/tex]
