Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800
How to calculate simple interest amount if rate of interest is R% annually?Suppose that the initial amount of investment is P
And the rate of simple interest is R% annually,
And the time of investment is T years.
Then, the amount of simple interest is calculated as:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
For the given case, let the initial investment Hannah made was of $P
Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536
Putting values in the above formula, we get;
[tex]I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800[/tex]
Thus,
The investment by Hannah was : Option A: $4800
Learn more about simple interest here:
https://brainly.com/question/5319581
So grateful if you help
Answer:
Question 3
a) 7/6 = 1 1/6
b) 8/3 = 2 2/3
c) 7/2 = 3 1/2
d) 3/2 = 1 1/2
e) 17/6 = 2 5/6
f) 10/3 = 3 1/3
Question 4
a) 4 x 8 = 32
b) 27/8 = 3 3/8
c) (32-27)/8 = 5/8
Step-by-step explanation:
Question 3
a) 7/6 = 1 1/6
b) 8/3 = 2 2/3
c) 7/2 = 3 1/2
d) 3/2 = 1 1/2
e) 17/6 = 2 5/6
f) 10/3 = 3 1/3
Question 4
a) 4 x 8 = 32
b) 27/8 = 3 3/8
c) (32-27)/8 = 5/8
Part-a) 7/6:
=> 1/6 + 6/6=> 1/6 + 1 = 1 1/6Part-b) 8/3:
=> 2/3 + 3/3 + 3/3=> 2/3 + 1 + 1=> 2/3 + 2=> 2 2/3Part-c) 7/2:
=> 1/2 + 2/2 + 2/2 + 2/2=> 1/2 + 1 + 1 + 1 => 1/2 + 3=> 3 1/2Part-d) 3/2:
=> 1/2 + 2/2=> 1/2 + 1=> 1 1/2Part-e) 17/6:
=> 5/6 + 6/6 + 6/6=> 5/6 + 1 + 1=> 5/6 + 2=> 2 5/6Part-f) 10/3:
=> 1/3 + 3/3 + 3/3 + 3/3=> 1/3 + 1 + 1 + 1=> 1/3 + 3=> 3 1/3Solution (Question 4):Note that:
1 pizza = 8 slicesTotal pizzas ordered: 4 pizzasPart-a) How many slices of pizzas were there altogether?
Use the equation (1 pizza = 8 slices) to find out how many slices were there.
=> 1 pizza = 8 slices=> 4 pizzas = 8 x 4 slices=> 4 pizzas = 32 slices32 slices of pizza were in total.
Part-b) How many pizzas were eaten? Express your answer as a mixed number.
Divide 27 by 8 to find out how many pizzas were eaten.
27/8 = 3 3/8 pizza3 3/8 of pizza were eaten.
Part-c) How many pizzas were left over? Express your answer as a fraction.
Subtract the pizza eaten from the pizza ordered to find out how many pizzas were left.
4 - 3 3/8=> 4 - 27/8=> 32/8 - 27/8=> 5/85/8 of pizza were left over.
please help me!!!!!!
Answer:
sorry i can see it its blured
At a grocery store, 7 apples and 2 oranges will cost $12.80. In addition, 6 apples and 3
oranges cost $12.00. Assuming that we are talking about the same apples and oranges, what is the
cost of 1 apple? What is the cost of 1 orange? Let x represent the cost of an apple
and y represent the cost of an orange. Show ALL work!
Equation #1:
Equation #2:
Cost of 1 apple: $
Cost of 1 orange: $
Answer:
Equation 1: 7x + 2y = 12.8
Equation 2: 6x + 3y = 12
Cost of 1 apple: $1.60
Cost of 1 orange: $0.80
Cost of 1 orange: $Step-by-step explanation:
Let's use the elimination method to solve this
Multiply equation 1 by 3
(7x + 2y = 12.8) x 3 = 21x + 6y = 38.4
Multiply equation 2 by -2
(6x + 3y = 12) x -2 = -12x - 6y = -24
The x terms will cancel each other out
21x + 6y = 38.4
-12x - 6y = -24
9x = 14.4
Divide by sides by 9 to isolate the x variable
9x/9 = 14.4/9
x = 1.6
This means an apple costs $1.60
Plug the new x into one of the original equations to find y; we'll use equation 1
7(1.6) + 2y = 12.8
11.2 + 2y = 12.8
Subtract 11.2 from both sides
11.2 + 2y = 12.8
- 11.2 - 11.2
2y = 1.6
Divide both sides by 2
2y/2 = 1.6/2
y = 0.8
This means an orange costs $0.80
Edward deposited $5,000 into a savings account 3 years ago. The simple interest rate is 4%. How
much money did Edward earn in interest?
Answer:
si = prt/100
so si = 5000x3x4/100
si = 50x3x4
which is 600
so he earned 600$ in interest
Is the expression a polynomial? If so, is it a monomial, binomial or
trinomial? 8x - 2y
Answer:
8x2y is a monomial.
Step-by-step explanation:
PLEASE HELP
The table shows the area of circles with a radius of 1 through 3 feet.
Recall that pi has a vale of about 3. Write an equation in two variables
To represent the relation in the table.
The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the last step. 9x2 54x = 7 9(x2 6x) = 7 9(x2 6x 9) = 7.
The first three steps for solving the quadratic equation by completing the square are as follows;
1. [tex]\rm 9x^2 +54x = 7[/tex]
2. [tex]\rm 9(x^2 + 6x) = 7[/tex]
3. [tex]\rm 9(x^2 + 6x + 9) = 7 + 81[/tex]
Given
The quadratic equation given as 9x^2 + 54x = 7.
Quadratic equation;The highest power of the degree is 2 is known as a quadratic equation.
To solve using the completing the square method.
The first three steps for solving the quadratic equation by completing the square are given below.
1. Write the equation in a way that the constants are on the right side while the terms with x are on the left.
[tex]\rm 9x^2 +54x = 7[/tex]
2. Make sure that the coefficient of the x^2 term is 1.
[tex]\rm 9(x^2 + 6x) = 7[/tex]
3. Adding a term to both sides that will complete the square on the left side.
This is done by dividing the coefficient of the x term by 2 and squaring it.
The same amount should be added to the right side to balance the equation.
[tex]\rm 9(x^2 + 6x + 9) = 7 + 81[/tex]
To know more about quadratic equations click the link given below.
https://brainly.com/question/25963825
Please answer quickly.
Answer:
"In addition"
Step-by-step explanation:
"In addition" is redundant because of what's said before it. "but some people also add lemon juice" is a way stronger sentence overall.
Can u answer this for me please step by step I'm desperate
-| -40 |
Answer:
- 40
Step-by-step explanation:
The absolute value always returns a positive value , that is
- | - 40 | = - | 40 | = - 40
PLEASE HELP DUE TODAY I'LL GIVE YOU 20 PTS AND POSSIBLY THE BRAINLIEST THING.
Which of the following demonstrates the Commutative Property of Multiplication?
5(2a − 3) = 10a − 15
10a − 15 = (2a − 3) ⋅ 5
5(2a − 3) = (2a − 3) ⋅ 5
(5 ⋅ 2a) − 3 = 5(2a − 3)
Answer:
C
Step-by-step explanation:
Because the Commutative Property means: Changing the order of factors does not change the product.
Therefore, the answer is C; 5(2a-3)=(2a-3)x5.
Hope this helps you!
Answer:
here you go so you mark that person the brainliest
Step-by-step explanation:
Please answer quickly ( 70 points)
Answer:
maybe 4 hours
____________
Answer: 4 hours
Step-by-step explanation: 10 for the first hour then 12 x 4=58
What is the answer I’ve been stuck on this for way too long
[tex]\text{Let's write it like}\\x+y=8\\+\:\:\:+\\z-x=6\\\downarrow\:\:\:\:\:\:\downarrow\\13\:\:\:\:8\\=>\\\displaystyle\\\left \{ {{x+z=13} \atop {z-x=6}} \right. \\\left \{ {{x+z=13} \atop {z=6+x}} \right. \\\downarrow\\x+x+6=16\\2x=7\\x=3,5=>z=9,5\\\text{Now we need to find y}\\3,5+y=8\\y=4,5\\\\\text{so we have}\\3,5+4,5=8\\+\:\:\:\:\:\:\:\:\:+\\9,5-3,5=6\\\downarrow\:\:\:\:\:\:\:\:\:\:\:\:\downarrow\\13\:\:\:\:\:\:\:\:\:\:8\\[/tex]
Find the value of f(-7).
y =f(x)
14. Find the distance between points P(3, 2) and Q(3, 8) to the nearest tenth.
Answer: 6
Step-by-step explanation:
In a city, 49% of the adults are male. Of the adults, 24% are male and rent action-movie DVDs and 10% are female and rent action-movie DVDs.
If an adult is randomly picked, the probability that the person rents action-movie DVDs, given that the person is female, is
.
Answer:
I getting the probability of the adult female that will rent the action movies in DVDs in by dividing the possible probability outcome which is 10% of all adults by the total number of possible outcome. So all of the population of the female is 51% and the ones who rent is only 10%. the probability is 19%
The solution is, 0.20 is the probability that the person rents action-movie DVDs, given that the person is female.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
Data:
A: the adult is a male, P(A) = 0.49
B: the adult rent action-movie DVDs
C: the adult is a female, P(C) = 1 - P(A) = 1 - 0.49 = 0.51
24% of the adults are male and rent action-movie DVDs, then P(A ∩ B) = 0.24
10% of the adults are female and rent action-movie DVDs, then P(C ∩ B) = 0.10
The conditional probability of B (the adult rents action-movie DVDs) given C (the adult is female) is computed as follows:
P(B|C) = P(C ∩ B)/P(C)
= 0.1/0.51
= 0.2
Hence, The solution is, 0.20 is the probability that the person rents action-movie DVDs, given that the person is female.
To learn more on probability click:
brainly.com/question/11234923
#SPJ7
solve: 2x + 5y = -1
3x + 2y = 4
Answer:
x = 2, y = -1
(x,y) = > (2,-1)
Step-by-step explanation:
2x + 5y = -1
3x + 2y = 4
-3(2x + 5y = -1) = > -6x - 15y = 3
2(3x + 2y = 4) = > 6x + 4y = 8
-6x - 15y = 3
6x + 4y = 8
-11y = 11
/-11 /-11
y = -1
2x + 5y = -1
2x + 5(-1) = -1
2x -5 = -1
+5 +5
2x = 4
/2 /2
x = 2
(x,y) = > (2,-1)
Hope this helps!
Maura wants to buy fencing to install around a square garden in her yard. the perimeter of the garden can be represented by the equation p = 4√a where a is the area of the garden.
Examine the graph that represents this situation.
Examine the graph that represents this situation.
The graph appears to begin at (0,0).
Is (0,0) a valid point in terms of the context of the situation? Why or why not?
Select the option that correctly answers both questions.
A) The point is valid in terms of the context because when Maura buys 0 feet of fence, the perimeter of the garden is 0 feet.
B) The point is not valid in terms of the context because the garden can't have an area of 0 square feet.
C) The point is valid in terms of the context because it represents the smallest garden Maura can have as well as the amount of fence she must buy.
D) The point is valid in terms of the context because it shows that the area and perimeter start at 0.
The correct option regarding the point (0,0) is the context of this function is given by:
D) The point is valid in terms of the context because it shows that the area and perimeter start at 0.
What is the function?The perimeter of a garden of area a is given by:
[tex]p = 4\sqrt{a}[/tex]
If there is no garden, that is, the area is 0, the perimeter is also 0, hence point (0,0) is valid, which means that option D is correct.
More can be learned about functions at https://brainly.com/question/25537936
A solid has volume 7 cubic units. The equation k=3v/7 represents the scale factor of k by which the solid must be dilated to obtain an image with volume V cubic units. Select all points which are on the graph representing this equation.
Answer:
I think answer's G. I'm really sorry if it's wrong. You rock!
Step-by-step explanation:
Hope this helps
Creating an Exponential Model
In this activity, you will formulate and solve an exponential equation that models a real-world situation.
Emma doesn't have experience using credit cards. In fact, she just got her first one. She is also about to start her first year
of college. She uses her new credit card to purchase textbooks for her classes. The total comes to $300. These are the
terms of her credit card:
• It has a 15% annual interest rate.
• The interest is compounded monthly
• The card has $0 minimum payments for the first four years it is active.
The expression that models this situation is P(1 + r/n)^nt, where (1 + r/n) represents the growth factor of the interest rate.
Answer:
P = $300
r = 0.15
n = 12
$544.61 (to the nearest cent)
[tex]P(1+r)^t[/tex]
$524.70 (to the nearest cent)
Step-by-step explanation:
P = principal amount = $300
r = annual interest rate in decimal form = 15% = 15/100 = 0.15
n = number of times interest is compounded per unit t = 12
How much she'll owe in 4 years
P = 300
r = 0.15
n = 12
t = 4
[tex]P(1+\frac{r}{n})^{nt}=300(1+\frac{0.15}{12})^{12 \times 4}[/tex]
= $544.61 (to the nearest cent)
Yearly compounding interest rate
[tex]P(1+r)^t[/tex]
How much she'll owe in 4 years at yearly compounding interest
[tex]P(1+r)^t=300(1+0.15)^4[/tex]
= $524.70 (to the nearest cent)
Answer the questions about the following polynomial.
-x+1/7
The expression represents a_______
polynomial with ____
terms. The constant
term is ______
the leading term is _____
and the leading coefficient is _____
Answer:
1) Linear
2) Two (2 Terms means it is a Binomial)
3) 1/7
4) -x
5) -1 (-x = -1x)
What is the area of this trapezoid?
Answer:
Area of trapezoid = 19.84 in^2
Step-by-step explanation:
Area of trapezoid = (b1+b2)/2 * Height
to find the height we have to use the Pythagorean formula for the left triangle
[tex]X^2 + Y^2 = Hypotenuse^2[/tex]
we sub the values in the formula
[tex]3^2 = Y^2 + 4^2[/tex]
Y = [tex]\sqrt{7}[/tex] which the height of the triangle
now we sub the values in the trapezoid formula
Area of trapezoid = (5+10)/2 * sqrt{7}
Area of trapezoid = 19.84 in^2
whats the answer for this one???? urgently need correct answers
Answer:
Refer to the attachmentSolve system of equations:
-9x - 8y = 14
10x + 4y = 4
somebody please help RN. thank you.
Answer: D
Step-by-step explanation:
To add credibility to your response
Impersonaters and scammers usually don't have things like phone numbers and personal links, they can increase your credibility
2.6 m wide. What's the area of a
single panel?
Answer: Area = l × w
= 1 × 2.6
= 2.6 feet2
Step-by-step explanation:
A design is made using twice as many large beads as small beads.
The mass of each large bead is 120 milligrams.
The mass of each small bead is 80 milligrams.
The total mass of all the beads used is 32 grams.
How many beads are used in total to make the design?
Answer:
When the remainder theorem is applied to the total number of beads, the number of beads left is 3
Step-by-step explanation:
The number of beads used in each design are given as:
Calculate the total number of beads used for all three designs
The number of available beads is:
Divide 750 by 83, to get the total number of designs
Remove decimal (do not approximate)
The number of beads remaining is calculated using:
Hence, there are 3 beads remaining
A truck, moving continuously, averages 55.5 mph for 6.75 hr. How far does it travel during this time?
Answer:
Distance = speed * time
You are given both the speed and the time so you can find the distance
speed = 56 miles/hr
time = 3 hrs 45 minutes = 3.75 hrs
distance = 56 * 3.75
distance = 210 miles
Step-by-step explanation:
.25 x .7 ] pleaseeeee i needddddd helppppppp!!!! NOWWWWW!!!!
Answer:
ANSWER-0.175
Step-by-step explanation:
Help me with geometry please
SAS
=========================================
Explanation:
SAS = side angle side
One pair of congruent sides is AC = CE (single tickmark). That takes care of one "S" of "SAS".
The other pair of congruent sides is BC = CD (double tickmark). This takes care of the other "S" of "SAS". The order of the "S" terms doesn't matter as long as the angles are between those sides.
The congruent pair of angles is angle ACB = angle ECD. Vertical angles are always congruent. Since we have a pair of congruent angles, this takes care of the "A" of "SAS". The angles are between the sides mentioned in the previous paragraphs.
Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x))
Answer:
Step-by-step explanation:
Function f(g(x)) is the amount of money Raul earns per ticket sold.
here are the steps to find f(g(x)):
Define the functions f(x) and g(x).
f(x) = amount of money Raul earns per ticket
g(x) = number of tickets Raul sells per hour
Substitute g(x) for x in the function f(x).
f(g(x)) = amount of money Raul earns per ticket * number of tickets Raul sells per hour
Simplify the expression.
f(g(x)) = amount of money Raul earns per ticket * number of tickets Raul sells per hour
= amount of money Raul earns per ticket sold
Therefore, f(g(x)) is the amount of money Raul earns per ticket sold.
Here is an example:
Let's say f(x) = $10 and g(x) = 2 tickets/hour. If Raul works for 1 hour, he will sell 2 tickets and earn $20.
f(g(x)) = f(2) = $10 * 2 = $20
To learn more about Function here:
https://brainly.com/question/30721594
#SPJ2