[tex]~~~~~~ \textit{Simple Interest Earned}\\\\I = Prt\qquad\begin{cases}I=\textit{interest earned}\\P=\textit{original amount deposited}\dotfill & \$9500\\r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\t=years\dotfill &5\end{cases}\\\\\\I = (9500)(0.02)(5)\implies \boxed{I = 950}[/tex]
A ball was thrown off of a 32 foot bridge and reached a maximum height of 50 feet after 3 seconds. How long
was the ball in the air?
a. 10 seconds
b. 6 seconds
c. 32 seconds
d. 8 seconds
What is the unit rate for canned juice, in cases per minute? Explain how you found this unit rate.
Answer:
Divide any of the numbers of cases by the corresponding time.
92/2 = 46
138/3 = 46
184/4 = 4
Step-by-step explanation:
Today Nia completed her sixth hour of training which represents her sixth hour of training, which represents 7.5% of the total number of hours in the training. How many hours will Nia spend in training in all?
The times spent in training is an illustration of proportions
The times spent in training is 80 hours
The given parameters are:
Time spent = 6 hours
Time spent as a percentage = 7.5%
Let the total time spent in training be x.
The scenario is represented by the following equation
Time spent = Time spent as a percentage * Total Time
So, we have:
6 = 7.5% * x
Express percentage as decimal
6 = 0.075 * x
Divide both sides by 0.075
80 = x
Rewrite as:
x = 80
Hence, the times spent in training is 80 hours
Read more about proportions at:
https://brainly.com/question/21126582
A spinner included in a board game has four equally sized sections, as pictured below.
If a player spins and gets a 3, what is the probability they will get 3 on the next spin?
a. 0.25
b. 0.5
c. 0
d. 1
Answer:
.25
Step-by-step explanation:
Since it's a random and equal chance, you can completely disregard what he got previously. There is always a 1 in 4 chance no matter what. .025 is correct.
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Answer:
a. 0.25
Step-by-step explanation:
A spinner in an algebra problem is generally considered to have equal probabilities for equal areas. It is also generally considered to have the characteristic that the value produced by the next spin is independent of the value produced by the last spin.
With those assumptions in mind, the probability of getting a 3 is always 0.25. It is never anything else with this 4-section spinner.
Amy drew a scale drawing of a shopping center. The scale she used was 1 inch : 3 feet. If a bakery in the shopping center is 16 inches wide in the drawing, how wide is the actual bakery?
Answer:
48 ft
Step-by-step explanation:
We can use ratios to solve
1 inch 16 inches
------------ = -------------
3 ft x ft
Using cross products
1 * x = 3 * 16
x = 48
48 ft
An art gallery is increasing the asking price of its paintings by 60%. A painting now costs $400.00. How much was the painting before the increase??
$
Answer:
$250
Step-by-step explanation:
The goal here is to find the cost of the painting BEFORE the 60% increase.
To find the cost of the painting, we must take in the information we already have:
Increase percent: 60%
Original price: unknown
Price after increase: $400
$400 is the price of the painting AFTER the increase has been added. So this equals the cost of the painting before the increase, plus the total amount of the increase (which is 60% of the original price).
The total must be (100% + 60% = 160%) 160% of the original painting price.
To find the original price, we must divide the increased price by the new percentage (160%). But how do we get here?
Well, we have 160% and our (fraction) $400/1%. We will have to switch the 160% and the 1%, giving us..
1% $400/160%
We take 400/160, which is 2.5. But this is only 1% of the original price! We want 100%.
So now, we multiply the 2.5 by 100 to get our answer: $250.
In the equation 80 divided by 10=8 the number 80 is the
Evaluate and simplify the
expression when x=10 and y=7.
?
5+ y
6x
Someone help please
Answer:
[tex]6^\frac{1}{10}[/tex]
Please help me! Thanks in advance
Answer:
the answer is
Step-by-step explanation:
that im not good with math so good luck
Help me pls
composition of functions
Answer:
It's 14
Step-by-step explanation:
k(-1)=6(-1)+8=-6+8=2
h(k(-1))=>h(2)=4+5(2)=4+10=14
Answer:
14
Step-by-step explanation:
Evaluate k(- 1) then substitute the value obtained into h(x)
k(- 1) = 6(- 1) + 8 = - 6 + 8 = 2 , then
h(2) = 2² + 5(2) = 4 + 10 = 14
One year of membership at a rec center includes a fixed monthly cost and a one-time membership fee. The following table contains some of the ordered pairs for this linear relationship between the number of months enrolled and the total cost paid for the membership.
Which graph correctly represents this linear relationship?
PLS ANSWERR AND EXPLAIN HOW YOU GOT THE ANSWE PLSSS YOULL BE MARKED AS BRAINLIST.just plss helpp
Answer:
Graf 2 is correct
Step-by-step explanation:
The correct graph that represents the linear relationship is Graph B with a positive slope.
The table shows a linear relationship between the number of months enrolled and the total cost paid for the membership.
To determine which graph represents this relationship, we need to check if the cost increases or decreases as the number of months enrolled increases. If the cost increases, it means the graph should have a positive slope. If the cost decreases, it means the graph should have a negative slope.
Let's look at the table:
Number of Months Enrolled Total Cost
1 75
2 100
3 125
As the number of months enrolled increases, the total cost increases. Therefore, the graph should have a positive slope. From the given options, the graph that correctly represents this linear relationship is Graph B, which has a positive slope.
Learn more about the topic of Linear relationship here:
https://brainly.com/question/15070768
#SPJ3
Which equation represents the line through (0,0) and (2,5)?
Answer:
Y= 5/2x+0
Step-by-step explanation:
find the slope and y intercept, which would be 5/2 and 0.
:))
help me with this please
Answer:
a - 8.5ft
Step-by-step explanation:
() Using trig ratio
sin(45) = x/12
12 * sin(45) = x
x = 8.5
() Using Pythagorean theorem
*special right triangle*
Since x * [tex]\sqrt{2}[/tex] = 12
to find the legs
x = [tex]\frac{12}{\sqrt{2}}[/tex]
x = 8.5
Answer:
x ≈ 8.5
Step-by-step explanation:
You have a 45- 45 -90 right triangle. The hypotenuse = 12, the legs = x
a² + b² = c²
x² + x² = 12²
2x² = 144
x² = 72
x = [tex]\sqrt{72}[/tex]
x = 8.485 ; x≈ 8.5
or in a a 45- 45 -90 right triangle the hypotenus = the leg([tex]\sqrt{2}[/tex] )
You are given the hypotenuse = 12. Finding x value
hypotenus = leg ([tex]\sqrt{2}[/tex])
12 = x([tex]\sqrt{2}[/tex] )
12/[tex]\sqrt{2}[/tex] = x
8.485 ≈ x
8.5 ≈ x
What two numbers have a product of -57 and a sum of -16?
Answer:
-19 and 3
Step-by-step explanation:
-19 x 3 = -57
-19 + 3 = -16
Answer:
Step-by-step explanation: To find the answer to "What two numbers have a product of 57 and a sum of 16?" we first state what we know. We are looking for x and y and we know that x • y = 57 and x + y = 16.
Before we keep going, it is important to know that x • y is the same as y • x and x + y is the same as y + x. The two variables are interchangeable. Which This means that when we create one equation to solve the problem, we will have two answers.
To solve the problem, we take x + y = 16 and solve it for y to get y = 16 - x. Then, we replace y in x • y = 57 with 16 - x to get this:
x • (16 - x) = 57
Like we said above, the x and y are interchangeable, therefore the x in the equation above could also be y. The bottom line is that when we solved the equation we got two answers which are the two numbers that have a product of 57 and a sum of 16. The numbers are:
5.35425
10.64575
That's it! The two numbers that have a product of 57 and a sum of 16 are 5.35425 and 10.64575 as proven below:
5.35425 • 10.64575 = 57
5.35425 + 10.64575 = 16
HOPE THAT HELP YOU PLS MARK ME BRANLITS PLSSSS
(-5+2)•(-1/2)
I don’t know how to do this problem. Would anyone be able to assist? Thanks!
Answer:
3/2 or 1 1/2 or 1.5
Step-by-step explanation:
first do the equations in each parentheses:
(-5+2) = -3
(-1/2) = -1/2
then multiply both sides:
-3 • -1/2 (which is the same as -3 • -1 over 2)
= 3/2 or 1 1/2 or 1.5
Which of the following is a run on sentence
Answer:
It is defiantly either C or D.
Step-by-step explanation:
It's not A because it has a period with means there is 2 sentences and not 1.
It's not B because it does not have multiple commas.
It might most likely be C because it has the most amount of commas.
If I'm wrong about C, than try D.
A cyclist rode at an average speed of 15 mph for 30 miles. How long was the ride? 0. 5 hours 1 hour 2 hours 3 hours.
Answer:
2 Hours
Step-by-step explanation:
using the relationship
distance = speed × time, then
time =[tex]\frac{distance}{speed}[/tex] =[tex]\frac{30}{15}[/tex] = 2 hours
1.6x – 2.88 = 3.4x
X=?????
Answer:
x = -1.6
Step-by-step explanation:
Solve for x:
Combine like terms. Here we combine 1.6x and 3.4x, obtaining 1.8x on the right side of the equation and -2.88 on the left side:
-2.88 = 1.8x
Solve for x by dividing both sides by 1.8:
x = -2.88/1.8, or x = -1.6
It costs $7 each way to travel to work each weekday by train. What is the weekly expense each way?
Answer:
it could either be 35 or 70
Step-by-step explanation:
PLEASE HELP NUMBER 3 ASAP ILL GIVE BRAINLIEST THANKS
Answer:
Sarah gets 2 A's.
Step-by-step explanation:
Sarah's mother gives her $10 for each B she receives. She received 3 B's, so 3x10 is 30. You subtract 80-30. You get 50. She receives $25 for each A. You then divide 50 by 25, and are left with 2. The answer is that Sarah received 2 A's on her report card.
Hope you have a great day,
Ginny
A standard fair dice is rolled twice. What is the probability of getting an even number on the first roll and any factor of 6 on the other?
Answer:
1/3
Step-by-step explanation:
Factors of 6 are 1, 2, 3, 6.
Even numbers are 2, 4, 6
3/6 * 4/6 = 12/36 or 1/3
is -4.9 bigger or smaller then 3.6
Answer:
Smaller
Step-by-step explanation:
On the number line, 3.6 is on the right side while -4.9 is on the left side. The closer to the right on the number line, the bigger the number.
Answer:
its smaller because negative numbers are to the left of positive numbers and when a number is to the left of another number its less than
(a+b)^2
(a+b)^2
(a+b)^2
(a+b)^2
Answer:
a^2 + 2ab + b^2
Step-by-step explanation:
Find the area of the shaded
figure.
Answer:
58 sq. units
Step-by-step explanation:
1. split them into 3 shapes
of course it is possible to count them all out, but the more efficient way would be to find the area of each shape and the add them all up.
2. find the area of rectangle a
so you can split one into a recantagle that separates itself from the 2 squares at the bottom
area formula: L x W
so the length of that rectangle is going to be 5, once you count the scares of that side. the width would be 10 when you count the top side of how wide it is.
5 × 10 = 50
3. find the area of the 2 squares
you don't need to find both, because one you find one, you find the other. so the length for the square would be 2 while the width is 2 as well.
2 × 2 = 4
so the area is 4, for each square.
50 + 4 + 4 = 58
Elizabeth wants to buy her mother a pair of pearl earrings for Mother’s Day. The earrings cost $50. The sales tax rate is 7.5%. What is the total amount Elizabeth will have to pay to purchase this gift?
Answer:
$46.25
Step-by-step explanation:
50 divided by 7.5% equals 3.75
Minus 3.75 from 50 to find the removed amount.
Answer:
Cost of the gift = $53.75
Step-by-step explanation:
Total cost of the gift = cost of the earrings + (cost of the earrings × sale tax)
Cost of the gift = $50 + ($50 × .075) 7.5% = .075
Cost of the gift = $50 + $3.75
Cost of the gift = $53.75
If x+1=7, what is the value of x2 + 22 +1?
Answer:
59
Step-by-step explanation:
x+1 = 7
Subtract 1 from each side
x+1-1 =7-1
x =6
x^2 + 22 +1
6^2 +22+1
36+22+1
36+23
59
Answer:
[tex]x + 1 = 7 \\ x = 7 - 1 = 6 \\ putting \: the \: value \: of \: x = 6 \\ 6 \times 2 + 22 + 1 = 34[/tex]
Please find a... I will mark you brainliest
Answer:
a = 20
Step-by-step explanation:
122 = 4a + 42
4a = 80
a = 20
Hope this helps!
Please help me on my exam qts please!
26) It costs a flat fee of $20 to rent a chainsaw, plus $4 per day for each day rented. Let'x' represent the number
of days rented, and 'y' represents the charge to the person renting the chainsaw. Write an equation for this
situation in y = mx + b form and then find out what the cost is if Bill rents the chainsaw for ten days.
Answer:
you should of not said exam you will prob get banned now
Step-by-step explanation:
Harry buys a wand for $12.50 plus 8% tax. Ron buys his sister a diary for $13 plus 8% tax. Write the sum, in dollars, that Harry and Ron paid, including tax.
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Answer:
$27.54
Step-by-step explanation:
The straightforward way to do this is to compute the tax and total on each amount, then add those together. There is an easier way.
($12.50 + 0.08·12.50) + ($13.00 + 0.08·13.00) = $12.50·1.08 +13.00·1.08
= 1.08($12.50 +13.00)
= 1.08·$25.50
= $27.54
Together, Ron and Harry paid a total of $27.54.
