Answer:
(a) The amount owed At the end of 1 year is $3,815
(b) The amount owed At the end of 2 years is $4,158.35
Step-by-step explanation:
The given parameters on the loan amount are;
The amount Salma borrows = $3,500
The interest rate at which the loan is borrowed, r = 9% compound interest annually
The assumption are that no payments are made out of the loan
(a) The formula for finding a compound interest loan amount, 'A' is given as follows;
[tex]A = P\cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}[/tex]
Where;
A = The amount owed
P = The principal (the initial amount borrowed)
r = The interest rate = 9% = 0.09
n = The number of times the interest is paid per unit period, 't' = 1
t = The number of periods of the loan = Number of years
At the end of 1 year, t = 1, we get;
[tex]A = 3,500 \times \left(1 + \dfrac{0.09}{1} \right)^{1 \times 1} = 3815[/tex]
The amount owed, A = $3,815 at the end of 1 year
(b) The amount owed at the end oy 2 years is found by plugging in t = 2 years into the formula for finding the amount owed by the borrower, therefore, we get;
[tex]A = 3,500 \times \left(1 + \dfrac{0.09}{1} \right)^{1 \times 2} = 4,158.35[/tex]
At the end of 2 years, the amount owed, A = $4,158.35
If p=5 and q=6, evaluate the following expression:2p+3q/4
Answer:
7
Step-by-step explanation:
Substitute in numbers : 2(5)+3(6) /4
Combine Like Terms : 10+18/4 = 28/4
Answer : 7
zoey invested $230 in a account interest rate was 6.3% daily to the nearest hundred dollars, would be after 12 years
ill give u crown thingy
A sleep study found that the number of hours each person slept was normally
distributed. The study found that the average person slept 8.2 hours with a
standard deviation of 0.7 hours.
1. What range of hours of sleep are the 99.7% closet to the mean
Answer:
6.1-10.3
Step-by-step explanation:
Multiply standard deviation times 3 = 2.1
Subtract and add to mean.
plss help i’ll give brainliest thank you!
Answer:
I think the answer would be point P , first one . ♡
Find x. Use a simplified radical or round to the nearest tenth.
Pleas helpppp
Answer:
[tex]x = 7 \sqrt{2} [/tex]
Step-by-step explanation:
[tex]sinθ = \frac{opp}{hyp} [/tex]
[tex]sin45° = \frac{7}{x} [/tex]
[tex] \frac{ \sqrt{2} }{2} = \frac{7}{x} [/tex]
Cross multiply:
[tex]( \sqrt{2} )(x) = 7(2)[/tex]
[tex]x = \frac{14}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } [/tex]
[tex]x = \frac{14 \sqrt{2} }{2} [/tex]
[tex]x = 7 \sqrt{2} [/tex]
b. If 3x - 3 and 5x + 7° are the angle of a linear pair, find their measurement the angle
Answer:
x = 22°
the angles are: 63° and 117°
Step-by-step explanation:
a linear pair of angles total together to be 180°
so:
3x - 3 + 5x + 7 = 180
combune like terms:
8x = 176
divide both sides of the equation by 8:
x = 22°
the angles are: 63° and 117°
Mark rides his bike from his house to the closest edge of the park, across the length of the park, and then back home. The distance from his house to the closest edge of the park is 0.9 km and the distance from the far side of the park to his house is 1.6 km. The map shows the path Mark took on his bike. If ∠B = 85° on the map, then use the law of cosines to determine the length of the park in kilometers.
Answer:
The length of the park is approximately 1.77 kilometers
Step-by-step explanation:
The law of cosines is most appropriate when the measures of two sides and the included angle formed n=by the path of motion is known
The given parameters of the question are;
The distance from Mark's house to the edge of the park, a = 0.9 km
The distance from the far side of the park to Mark's house, c = 1.6 km
Whereby the included angle between lines, 'a' and 'c' is the ∠B = 85°, by cosine rule, we have;
b² = a² + c² - 2·a·c·cos(B)
Where;
b = The length of the park in kilometers
By plugging in the known values of 'a', 'b', and 'c', we get;
b² = 0.9² + 1.6² - 2 × 0.9 × 1.6 × cos(85°) ≈ 3.11899146089
∴ b = √(3.11899146089) ≈ 1.76606666377
Therefore, the length of the park, b ≈ 1.77 km.
Solve for k.
c= 1/2kr
Answer:
k = 2c/r
Step-by-step explanation:
[tex]c=\frac{1}{2}kr\\\text{Multiply by 2.}\\2c=kr\\\text{Divide by r}\\\frac{2c}{r}=k\\\text{Rearrange.}\\k=\frac{2c}{r}[/tex]
5 - Numbers from 1 to 50 are written on a piece of paper and dropped into a box. A paper is chosen at random
What is the probability of getting a number less than 19? (whole percentage)
%
Answer:
1 out of a 50% chance
Step-by-step explanation:
hope it helps
Jasmine swims 12 laps every afternoon, Monday through Friday. How many laps does she swim in one week?
Answer:
60
Step-by-step explanation:
In one week, Jasmine swims on Monday, Tuesday, Wednesday, Thursday, and Friday. Meaning she swims 5 days a week. If she swims 12 laps on all 5 days, then she swims a total of 60 laps.
I don’t need you to solve anything don’t worry about the numbers but is this triangular prism
A) rectangle/parallelogram
B) triangle
C) trapezoid
Plz help I’m confused
Answer:
This is a triangle prism
Step-by-step explanation:
It definitely can't be rectangle, parallelogram, or trapezoid
The coordinate grid shows the plot of four equations,
7-
6-
5
4-
34
2
С.
А
-6 -5 -4 -3
B В
Which set of equations has (1,4) as its solution? (4 points)
а
A and D
b
B and D
ОООО
с
A and C
d
B and C
Answer:
I'd guess B and D
Step-by-step explanation:
5dAnswer:
Step-by-step explanation:
Eva payrolls for on a number cube and the number of cubes roll 24 times then what is a reasonable prediction for the number of successful Rolls
Answer:
The reasonable prediction for successful rolls is 4.
Step-by-step explanation:
Assuming the rolling cube is a fair 6 sided cube, so the probability of success of one roll is given as
[tex]P(Success)=\dfrac{Number\ of\ successful\ events}{Number\ of\ total\ events}[/tex]
[tex]P(Success)=\dfrac{1}{6}[/tex]
The total success is given as
[tex]P(Total\ Success)=P(Success)\times Number\ of\ events[/tex]
For 24 rolls it is given as
[tex]P(Total\ Success)=P(Success)\times Number\ of\ events\\P(Total\ Success)=\dfrac{1}{6}\times 24\\P(Total\ Success)=4[/tex]
So the reasonable prediction for successful rolls is 4.
one ticket costs $8. if you have $56, how many tickets can you buy?
please show work if it’s possible!!:)
Answer:
7
Step-by-step explanation:
because 56 divided by 8 = 7
or 7 x 8 = 56
hope this helps?
if its right can i have brainlist?
:')?
Answer:
You can buy 7 tickets
Step-by-step explanation:
56 devided by 8 is 7
Answer this question to get marked as brainliest!!!!!
Answer:
113.14 is the answer use circle formula
If 40% of a number is 112 and 95% of the same number is 266, find 55% of that number.
Answer:
154
Step-by-step explanation:
.4 x 112 = 280
.95 x 266 = 280
.55 x 280 = 154
is the relation shown below a function? Explain.
(4, 16), (5, 25), (3, 9), (6, 36), (2,4), (1, 1)
Answer:
4•4=16
5•5=25
3•3=9
6•6=36
2•2=4
1•1=1
Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.
Answer:
[tex]c = 11[/tex]
Step-by-step explanation:
Given
Let the three sides be a, b and c
Such that:
[tex]a = b= 5[/tex]
Required
Find c such that a, b and c do not form a triangle
To do this, we make use of the following triangle inequality theorem
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
To get a valid triangle, the above inequalities must be true.
To get an invalid triangle, at least one must not be true.
Substitute: [tex]a = b= 5[/tex]
[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]
[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]
[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]
The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]
Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]
[tex]0 < c < 10[/tex]
This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)
Any value outside this range, cannot form a triangle
So, we can say:
[tex]c = 11[/tex], since no options are given
I really need help with this
Answer:
I don't have a grid with me but look at it this way. if you look at the first set of points look at where they are starting. and. then look at the second set of points. see if the points plotted bend over the x axis or the y axis:)
Complete each blank using the given information for a square.
Given:
The side of the square = [tex]9\sqrt{6}[/tex] m
To find:
The diagonal of the square.
Solution:
We know that the diagonal of a square is:
[tex]d=a\sqrt{2}[/tex]
Where, d is the length of diagonal and a is the side of the square.
Putting [tex]a=9\sqrt{6}[/tex], we get
[tex]d=9\sqrt{6}\sqrt{2}[/tex]
[tex]d=9\sqrt{12}[/tex]
[tex]d=9(2\sqrt{3})[/tex]
[tex]d=18\sqrt{3}[/tex]
Therefore, the diagonal of the square is [tex]18\sqrt{3}[/tex] m.
Approximately, what
is the mean number of books between all the
students, rounded to the nearest tenth?
Answer:
8.7
Step-by-step explanation:
Add up all the books
5 students have 6 books each
3 students have 8 books each and so on
5 * 6 = 30
8*3 =24
9*6 = 54
12*4 = 48
-------------
156 books
Divide by the number of students
156/18 =8.6666666
Round to the nearest tenth
8.7
The average ( or mean) number of books per student is 8.7 books
[tex] 25x { }^{2} + (5x - 3)(2x + 7) - 9[/tex]
Step-by-step explanation:
[tex]5x - 3 \times 7x + 10[/tex]
Answer:
35x² + 29x - 30
Step-by-step explanation:
Given
25x² + (5x - 3)(2x + 7) - 9 ← expand factors using FOIL
= 25x² + 10x² + 29x - 21 - 9 ← collect like terms
= 35x² + 29x - 30
Which of the following units is most appropriate to measure the perimeter
of a park?
A. square inches
B. square meters
C. millimeters
D.meters
urgent please help. will mark brainliest.
[tex]given \: that \: p = {x}^{2} + 4x - 2 \: and \: q = 2x - 1 \: and \: q - p = 2 \: find \: x[/tex]
Answer:
x= -1
Step-by-step explanation:
p= x² +4x -2 -----(1)
q= 2x -1 ------(2)
q -p= 2 -----(3)
Substitute (1) and (2) into (3):
2x -1 -(x² +4x -2)= 2
2x -1 -x² -4x +2= 2 (Expand bracket)
-x² -2x +1=2 (Simplify)
x² +2x +2 -1= 0 (Bring all terms to one side)
x² +2x +1= 0
(x +1)²= 0 (Factorise)
x +1= 0 (Square root both sides)
x= -1 (-1 on both sides)
A bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is not yellow.
Answer:
There is a 9/10 probability that the marble will not be yellow.
Step-by-step explanation:
If there are a total of ten marbles, and there is one yellow marble, there is a
1 yellow marble / 10 total marbles chance of getting a yellow marble. Then subtract it from 10/10 to get the probability of NOT getting a yellow marble.
10/10 - 1/10 = 9/10.
Answer:
9/10
Step-by-step explanation:
I THINK I THINK I THINK
Graham earns $6 for every crate of oranges he picks.
Lynn earns $5 per hour babysitting.
How many crates of oranges does Graham need to pick to earn the same amount
that Lynn earns for 12 hours of babysitting?
Enter your answer in the box.
Graham needs to pick 10 more oranges to have the same amount I think
Step-by-step explanation:
so first multiply 5 and 12 which is 60
5*12=60
then divide 60 from 6 or 6 from 60
60÷6= 10
Use the information given below to find tan(a+b).
12
COS = with a in quadrant I
13
3
tanſ = with ß in quadrant III
4'
Give the exact answer, not a decimal approximation.
Can someone help me please
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: (-10,-2)
Just multiply the points by 2
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
(-10,-2)
Step-by-step explanation:
Which graph correctly solves the equation below?
-x² – 1 = 2x^2 – 4
Answer: Hope this helps. I didn't see any graphs posted on your question.
Step-by-step explanation:
y = -x²-1
y = 2x²-4
Edit: posted wrong screenshot :/
here is the actual one lol