Answer:
(a) $768
Step-by-step explanation:
Faye borrowed $9600 at 8% interest compounded per annum.
Solution for question (a):
Amount accumulated is given by;
A = P(1 + [tex]\frac{r}{n}[/tex][tex])^{nt}[/tex]
Where A is the amount, P is the pricipal, r is the rate, n is the number of times in a year, and t is the number of years.
So the amount after one year was;
A = 9600(1 + [tex]\frac{8}{1 * 100}[/tex][tex])^{1 * 1}[/tex] = 9600 × 1.08 = 10368
Interest = Amount - Principal = $10368 - $9600 = $768
a. The interest on the loan for the first year is $768.
b. The amount she still owe at the beginning of the year is $6,000.
c. The interest on the remaining balance for the second year is $480.
a. Interest on loan:
Interest on loan=$9600 × 8%
Interest on loan=$768
b. Amount owed
Amount owed=$9,600+$768-$4368
Amount owed=$6,000
c. Interest on remaining balance :
Interest on remaining balance=$6,000×8%
Interest on remaining balance=$480
Inconclusion the interest is $768, amount owe is $6,000 and Interest on remaining balance is $480.
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A hunter shot 7 ducks. The hunter's dog recovered 5/7 of the ducks. How many ducks were recovered
Answer:
I think it would be 5/7
Explanation:
The question states "The hunter's dog recovered 5/7 of the ducks.", so I am guessing it would be 5/7
Hope this helps :)
Answer:
5 Ducks
Step-by-step explanation:
It is given that there were 7 ducks and 7 of those were shot in total. 7/7
It is also given that the dog retrieved 5/7 of them.
So, 7/7-5/7=2/7
2 ducks were not recovered, and 5 were
Hope I helped
Can somebody help me with these 3. Will mark brainliest.
I need number 7 and 9 please show work if you can
Answer:. sum of interior angles:
Heptagon: 900°
14gon 2160°
Step-by-step explanation: Divide 360 by the number of sides to get the measure of the average or regular central angle (same as an exterior angle)
360/7 = 51.43 360/14 = 25.7.
Subtract from 180 to find the interior angle.
180 - 51.43 = 128.57
180 - 25.7 = 154.3
Multiply the measure of the interior angle by the number of sides to find the sum of the interior angles.
128.57× 7 = 900
154.3 × 14 = 2160
what is the y-intercept for f(x)=x2-8x+15
Answer:
(0, 15)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationThe y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
Step 1: Define
f(x) = x² - 8x + 15
Step 2: Find y-intercept
Substitute x = 0: f(0) = 0² - 8(0) + 15Exponents: f(0) = 0 - 8(0) + 15Multiply: f(0) = 0 + 15Add: f(0) = 15Rewrite: (0, 15)A. I and II ONLY
B. II and III ONLY
C. I and III ONLY
D. I , II and III
The statement supported the graph is
The axis of symmetry is x = 3
The coordinates of the y-intercept are (0,7)
What is axis of symmetry?A line that divides an object into two equal halves and produces a mirror-like reflection of each side of the object is known as an axis of symmetry.
1. The axis of symmetry is x = 3
The axis of symmetry is the central axis of the graph, which signifies the middle point of the graph. It is evident that this graph is centered on x = 3.
2. The coordinates of the y-intercept are (0,7)
The y intercept is the point where the graph meets the y-axis, that is, the value of y on the graph when x=0.
From the graph, the coordinates of the y-intercept is (0, 7)
3. The X-intercept is located at (-3,0)
The x intercept is the point where the graph meets the x-axis, that is, the value of x on the graph when y=0.
From the graph the curve x axis at x= 1.5 and x= 4.5
So, the x-intercept is truly located at (1.5, 0) and (4.5,0)
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If a beetle crawls at a constant rate of 3 feet per minute, how long, in minutes, will it take the beetle to travel 75 feet?
A. 25 min.
B. 72 min.
C.78 min.
D. 225 min.
Answer:
A. 25 minutes
Step-by-step explanation:
3ft/min = 75ft/?min
75ft ÷ 3ft = 25min
it will take the beetle 25 minutes to travel 75 feet.
Aidan will roll a fair 10-sided number die showing the numbers 1 – 10.
If Aidan rolls the number die exactly 300 times, which statement is the best
prediction about the outcome?
A. Aiden should expect a multiple of 3 to be rolled 100 times.
B. Aiden should expect a 2 to be rolled 60 times.
C. Aidan should expect a multiple of 2 to be rolled 150 times.
D. Aiden should expect a 4 to be rolled 75 times.
Answer:
Aiden should expect a multiple of 2 to be rolled 150 times.
Step-by-step explanation:
300 can be divided evenly 2 times.
What are the coordinates of B' after the translation? (1, 6) (–3, 6) (0, 0) (3, 1)
will mark brainlyest
The answer is (3,1) thanks for the points bud
Answer:
B (-3, 6)
Step-by-step explanation: I did it on edge 2021
NEED HELP ASAP!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!
A.) 20.6 units
B.) 4 units
C.) 19.4 units
D.) 5 units
write an equivalent expression for 8x + 9
Answer:
8+8+8+8+8+8+8+8+8.
Step-by-step explanation:
Just add 8 nine times.
Answer:
9 + 8x
Step-by-step explanation:
it's the same but backwards
it's called a Palindrome
Hope this helped a little!
I really need help for this geometry question, I would appreciate any help thank you.
Answer:
hypotenuse = 4.24
Step-by-step explanation:
sin θ = opposite / hypotenuse
sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
hypotenuse = 4.24
Iced tea and lemonade sell for different prices per gallon at Chicken-Fill-Up. Two gallons of iced tea and 3 gallons of lemonade cost a total of $23.25. Five gallons of iced tea and 4 gallons of lemonade cost a total of $41.50. What is the price per gallon for each drink at Chicken-Fill-Up?
Answer:
the price per gallon for each drink is $4.5 and $4.75 respectively
Step-by-step explanation:
The computation of the price per gallon for each drink is as follows;
Let us assume the ice tea be x
And, lemonade be y
So the equations are
2x + 3y = $23.25 .......(i)
5x + 4y = $41.50 ................(ii)
Now multiplied by 5 and 2 in equation 1 and 2
10x + 15y = $116.25
10x + 8y = $83
7y = 33.25
y = $4.75
Now put the y value in any of the equation
2x + 3($4.75) = $23.25
x = $4.5
So, the price per gallon for each drink is $4.5 and $4.75 respectively
URGENT
question is in the photo :)
1. b¹²
2. 2x⁴
3. 3x³
4. 6x¹¹
5. 10x⁹
Write an equation and solve. Round to the nearest hundredth where necessary.
What is 25% of 96?
A.) n • 0.25 = 96; 384
B.) n = 0.25 • 96; 24
C.) n = 25 • 0.96; 24
D.) n = 25 • 96; 2400
Answer:
see explanation
Step-by-step explanation:
I think its c n=25. 0.96; 24
Mary earned 24 points on her science test. The total points on the test was 30 points. What is Mary’s test score as a percent? Show work
Answer:
80%
Step-by-step explanation:
24 devided by 30 = 0.8
0.8 times 100 = 80%
Answer:
80%
Step-by-step explanation:
take the number you got and divide it by how many it was out of and then move the decimal two points to the right. 24/30= 0.8 then move the decimal and get 80 and add the percent sign.
Can someone help me please
Answer:
I think the answer is B
I had that but got two out of order so that’s the best option for me
Answer:
D.
2/3 in percentage form is 66.6666667%
0.23=23%
25%
5/8=62.5%
60%
then you would have to put them in order.
Hope this helps!!
If b=79° and c=83°
Work out angle a and d.
(15points)
Answer:
????????????????????
Answer:
A = 101 degrees d = 97 degrees
Step-by-step explanation:
180 - 79 = 101 as angles in a straight line = 180
101 + 79 + 83 = 263
360 - 263 = 97 degrees
Last year, there were k ples baked for the bake sale. This year, there were 216pies baked. Using k, write an expression for the total number of pies baked in
the two years.
Answer:
216 + k = total pies
Step-by-step explanation:
216 pies this year + k pies last year = total pies
help meh pls 【=◈︿◈=】 What division problem does this area model represent?
Enter your answer in the boxes.
÷ 75 = R
From the information, the correct value that expresses the division will be 300 ÷ 75 = R
How to calculate the division?From the information given, the thing to do is simply to use the number in the box to divide the number beside it and get the information.
This will be:
= 3000 ÷ 75 = 40
= 300 ÷ 75 = 4
Therefore, the expression is 300 ÷ 75 = R.
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If two out of every 10 high school students are licensed drivers, about how many students would be expected to have drivers' licenses in a high school with 615 students?
Answer: 123 students
Step-by-step explanation:
2/10 is 20% so you'd take 615 x 0.20 which is 123.
Solving Multi-Step Equations Maze
Drag the appropriate arrow to
show your path as you go
from the start to the finisch
DOWN START ve cochojuan for Xbo v pollo heard
START
(2x + 1) - 36
5(x ) - 100
2.75
Jul
10
Jul
3(2x + 4) 19
182x-X-7
18-15-3(6x + 5)
15
Til hay
II
58 7x25 - 4
X-9.6x22.5
15
-6,3
THE
END
8. The direction of current in the Fleming's left hand rule is given by
A: thumb
B: middle finger
C: index finger
D: little finger
Answer:
B: middle finger
Step-by-step explanation:
Fleming's Left Hand Rule states "that when you hold out your left hand with the forefinger, second finger and thumb mutuallly at the right angle to one another. If the forefinger represents the direction of the field and the second finger represents that of the current, then thumb gives the direction of the force"
The answer is B. middle finger
h(x) = -5(x-1)^2(X+2)
what is the degree, leading coefficient, and y-intercept?
Answer:
-10 leading coe and (0, 20) y intercept i think
What is the equation of the line that passes through the point (-2, 1) and has a
slope of 3/2?
Answer:
y=3/2+4
Step-by-step explanation:
which number line model of the sum of 8 + -12 correctly
Answer:
U did not add a picture but if u do I will help.
Step-by-step explanation:
It should be 8 to the right and 12 to the left which should end at -4
Answer:
The answer is 4?? tell me if it's wrong or not.
Express the following relationship as a rate.
Reading 30 pages in 10 minutes
O 30 pages per hour
O 30 pages per minute
O3 pages per minute
O 10 pages per minute
please help meeee im doing an iready lol
Answer:
the answer is 252
Step-by-step explanation:
7 x 8 x 9
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2
help
help
help
help
help
help
help
Answer:
it's answer c and why so many helps
I don’t get 9.) so if anyone can’t skip it I need help with 10.) too
Answer:
ok number 9.) i believe its 7 if im wrong im so sorry
Step-by-step explanation:
Answer:
I will help with 10 i don't get 9 sorry so the answer is (a) F(5,4)
Step-by-step explanation:
So you have the midpoint and you put f(x, y) and D(-3,-8)
So
E=(x-3/2, y-8/2) =(1,-2) so
X-3/2 =1 , x-3=2 so x = 5
And y-8/2 = - 2. , so y-8 = - 4. , so y =4
So F =(5, 4)
10x^2 y –5xy^2–2x^2 y +x^2y –3xy^2
Answer:
[tex]9x^{2}y - 8xy^{2}[/tex]
Step-by-step explanation:
[tex]10x^{2}y - 5xy^{2} - 2x^{2}y + x^{2}y - 3xy^{2} =[/tex] --> Equation
[tex](10x^{2}y - 2x^{2}y + x^{2}y) + (- 5xy^{2} - 3xy^{2}) =[/tex] --> Combine Like Terms
[tex]9x^{2}y - 8xy^{2}[/tex] --> Simplify
Hope this helped! <3