Answer:
a = -9Step-by-step explanation:
Solving for a in steps:
4a - 18 = 6a6a - 4a = -182a = -18a = -18/2a = -9Help me then get brainlest
Hi ;-)
This angle is
obtuseAnswer:
This is an obtuse angle
Step-by-step explanation:
Anything over 90 degrees is obtuse
KBL Ltd. entered into an agreement to lease a vehicle from Morgan Ltd.: Cash price of the vehicle Kshs 20.000 Lease payments: 5 instalments of Kshs 5.142 paid in arrears Required: How much of this finance charge will appear in each year's profit and loss expense in the lessee's books using the actuarial method? (10 Marks)
Finance charge is the amount it costs of borrowing money
The finance charge that will appear in each year's profit and loss expense in the lessee's books are;
[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]
The total financial charge = 5 × 5.142 - 20.000 = 5.71
The annual percentage rate, APR, of an instalment payment is given as follows;
[tex]\dfrac{(1 - (1 + r)^{-5}}{r} \times 5.142 = 20.000[/tex]
Solving using a graphing calculator gives;
r = APR ≈ 0.09 = 9%
The calculation for charges each year is as follows:
Payment interest for the first instalment = 20 × 9% = 1.8
The principal of the first payment = 5.142 - 1.8 = 3.342
The loan balance = 20 - 3.342 = 16.658
Payment interest for the second instalment = 16.658 × 9% = 1.49922
Second payment principal = 5.142 - 1.49922 = 3.64278
Loan balance = 16.658 - 3.64278 = 13.01522
Payment interest for the third instalment = 13.01522 × 9% = 1.1713698
Third payment principal = 5.142 - 1.1713698 = 3.9706302
Loan balance = 13.01522 - 3.9706302 = 9.0445898
Interest for the fourth payment = 9.0445898 × 9% = 0.814013082
Fourth payment principal = 5.142 - 0.814013082 ≈ 4.327986918
Loan balance = 9.0445898 - 4.327986918 = 4.716602882
Fifth payment interest = 4.716602882 × 9% = 0.42449425938
Fifth payment principal = 5.142 - 0.42449425938 ≈ 4.718
Therefore, we have;
[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]
Learn more about the actuarial method here:
https://brainly.com/question/15504405
Kaitlin recorded the results for a sample of 536 candies.
Color Counts Sample Proportion ()
Red 123 23%
Yellow 145 27%
Green 64 12%
Orange 129 24%
Purple 75 14%
The candy company claims that the distribution of each color is exactly 20%.
Select the observed and expected frequencies for the yellow candies.
a.) Observed: 145
Expected: 80.4
b.) Observed: 123
Expected: 80.4
c.) Observed: 107.2
Expected: 14
d.) Observed: 145
Expected: 107.2
Answer:
Observed: 145
Expected: 107.2
Step-by-step explanation:
to get the observed frequency, we simply look at the value in the column. In this case, it is 145 for the yellow group.
To get the expected frequency, we use the formula:
n equals s a m p l e space s i z e equals 536
p equals h y p o t h e s i z e d space p r o p o r t i o n equals 20 percent sign equals 0.2
E x p e c t e d space F r e q u e n c y equals n times p equals 536 times 0.2 equals 107.2
Answer: 104.5
107.2
Step-by-step explanation:
Determine whether the statement is true or false.
Every real number is an irrational number.
Answer:
Firstly irrational number are any real number that cannot be expressed as the quotient of two integers . For example there is no number among integers and fractions that equals the square root of 2 .
Hope I helped
What is the value of X minus Y if x equals 9 and Y equals -20
Choose the correct statement. Consider the expression: 6.43
А
The product of one rational number and one irrational number is rational.
B
The product of one rational and one irrational number is irrational.
C
The product of two irrational numbers is irrational.
D
The product of two rational numbers is rational.
Answer:
D
Step-by-step explanation:
Goky kwiwiwjwjjwiwjwiw
perimeter is 21cm Length is 7.5cm and the Breadth is not given
Answer:
The answer is 3cm
Please give branliest!
Step-by-step explanation:
(S1×2)+(S2×2)=21cm
(S1+S2)×2=21cm
S1+S2=21÷2
7.5+S2=10.5
S2=10.5-7.5
S2=3
Breadth=3cm
Step-by-step explanation:
p=2(l+b)
21=2(7.5+b)
21=15+2b
21-15=2b
6=2b
6/2=b
b=3
पाठशाला
Date
Page
amount of Rs sooo at the
annual Rate or 127.
is as
8ooo, and
find the interest
and time 2
Anyone who knows this mathematic question will get the brainliest
When 1480 is divided into 12 equal parts, the remainder is 4. What is a correct way to write the quotient?
123.4
1234 over 12
123 + 4
1234 over 1480
Answer:
123.4
Step-by-step explanation:
Which of the expressions below have a value of 12? Select all that apply.
A) -4 X-3
B) 6 x 2
C) -6 X-2
D) 3 X-4
E) 12 x 1
Answer:
A, B, C, and E
Step-by-step explanation:
A) -4 X-3 = 12
B) 6 x 2 = 12
C) -6 X-2 = 12
D) 3 X-4 = -12
E) 12 x 1 = 12
the expressions that have a value of 12 are :
A, B, C, and E
Answer:
Lets find
[tex]\\ \rm\longmapsto -4(-3)=12\checkmark[/tex]
[tex]\\ \rm\longmapsto 6(2)=12\checkmark[/tex]
[tex]\\ \rm\longmapsto -6(-2)=12\checkmark[/tex]
[tex]\\ \rm\longmapsto 3(-4)=-12\checkmark[/tex]
[tex]\\ \rm\longmapsto 12(1)=12\checkmark[/tex]
to divide fractions invert the second fraction and multiply
True
Flase
Answer:
TrueStep-by-step explanation:
Example of dividing fraction:Givens: 1/2 and 3/61/2 ÷ 3/6= 1/2 × 6/3= 6/6= 1[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Shellie buys a loaf of bread fo $2.99, a gallon of milk for $3.49, and a pack of
lunchmeat for $5.99. The sales tax is 8%. How much will Shellie's total bill be,
including the sales tax? Round your answer to the nearest cent.
Answer:
$13.47
Step-by-step explanation:
2.99 + 3.49 +5.99 + 12.47.
12.47 x 0.08 = 1.
12.47 + 1 = 13.47
HELP I NEED SOMBODEY HELP NOT JUST ANYONE JK HELP ME PLSSSSS
What is the volume of the following rectangular prism?
Answer:
[tex]volume \: of \: rectangular \: prism = base \: area \: \times height \\ \\ = length \times width \times height[/tex]
Simplify show step by step 30 POINTS!
What you want to do at the beginning is to "Keep-Change-Flip" the fractions. You're going to keep the first fraction the same, change the divide sign to a multiply sign, and flip the second fraction.
Next, you'll have to factor, and then you can cancel out common components.
Find the slope of the straight line that passes through the following pair of points. (-4,1) and (2,6)
Answer:
5/6
Step-by-step explanation:
(6-1)/(2- -4) --> 5/6
Answer: Slope = 5/6
Concept:
Here, we need to know the idea of a slope.
A slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Slope = (y₂ - y₁) / (x₂ - x₁)
Solve:
Given information
(x₁, y₁) = (-4, 1)
(x₂, y₂) = (2, 6)
Given equation
Slope = (y₂ - y₁) / (x₂ - x₁)
Substitute values into the equation
Slope = (6 - 1) / (2 - (-4))
Simplify values in parentheses
REMEMBER to change signs whenever a [+, -] meets [-] sign
Slope = 5 / (2 + 4)
Slope = 5/6
Hope this helps!! :)
Please let me know if you have any questions
Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in
Answer:
[tex]r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \times 2 \times 5 + 2\pi {2}^{2} \\ = 20\pi + 8\pi \\ = 28\pi \\ = 28 \times 3.14 \\ = 87.92 {unit}^{2} \\ thank \: you[/tex]
Find - 36
.
Ο +6
-6
9Ο
Ο 18
Answer:
+or-6
Step-by-step explanation:
This is a trick question. The answer would be the first choice since you're multiplying -6 by +or-6, meaning that it could still end up as a negative or a positive.
Answer:
Step-by-step explanation:
Find NL. Not sure to to solve this.
Answer:
NL= 2 × HI
x+24 =2 × (X+16)
x+24=2x + 32
2x-x= 24-32
x= – 8
NL=x+24 = –8 +24= 16
So ; NL= 16
I hope I helped you^_^
Pedro is helping refill ketchup bottles at his uncle's diner. He has a huge container with 2
gallons of ketchup, which he distributes evenly among 15 bottles.
How much ketchup goes in each bottle?
Write your answer as a proper fraction or miye
mbar
Answer:
estuvo muy Bien jwjejehebqkwjshhshshshhebwwhwbhwhwuwjwywgegevwhwvwgww
Answer:
Naosei
Step-by-step explanation:
An artist designs a rectangular quilt piece with different types of ribbon that go from the corner to the center
of the quilt. The dimensions of the rectangle are AB = 10 inches and AC = 14 inches.
Answer: BX = 7
======================================
Explanation:
For any rectangle, the diagonals are the same length and they cut each other in half (aka bisect each other).
This means diagonal BD = AC = 14 and BX = BD/2 = 14/2 = 7. The value of AB is never used.
Answer:
7
Step-by-step explanation:
0.6(0.6r +0.5) + 7r
PLS HELP
Answer:
Answer 7.36r + 0.3
Step-by-step explanation:
0.6 (0.6r + 0.5) + 7r
0.6*0.6r = 0.36r
0.6 * 0.5 = 0.3
0.36r + 0.3 + 7r
7.36r + 0.3
If the statement if I'm hungry, then I am not happy is assumed to be true is it's inverse of I am not hungry then I must be happy also always true
Answer:
yes!
Step-by-step explanation:
"i am not happy when hungry" is the inverse of "i am not hungry, i am happy."
Answer:
No
Step-by-step explanation:
The calculation for the correlation, r, for this set of five students is __________. Answer choices are rounded to the hundredths place.
Answer:
im not sure
Step-by-step explanation:
Answer:
0.32
Step-by-step explanation:
Moly and Lynn both set aside money weekly for their savings. Molly already has $650 set aside and adds $35 each week. Lynn already has $825
set aside but acids only 515 each week. Which inequality could they use to determine how many weeks, it will take for Mollys savings to
exceed Lyon's savings?
Answer:
650+35w>825+15w
Step-by-step explanation:
Find the inverse of f(x) = -4+7/2x
Answer:
2/7x + 8/7
Step-by-step explanation:
f(x) = -4 + 7/2x
y = -4+7/2x
Exchange x and y
x = -4 +7/2y
Solve for y
Add 4 to each side
x+4 = -4+4 +7/2y
x+4 = 7/2y
Multiply each side by 2/7
2/7(x+4) = 2/7 * 7/2y
2/7(x+4) = y
2/7x + 8/7
please help will bark brainliest
Answer:
A.
Step-by-step explanation:
Use a number line or place value to round each number to the place of the underlined digit
you didn't put a picture in,
jim can solve 4 math problems in 7 minuts. At this rate, about how many math problems can he solve in 25 minuts?
Answer:
14.
JIm can solve 4/7 math problems in a minute. that is the unit rate. how did i get that? 7/7 = 1 and thats what we need for a unit rate, the number one. that means we have to divide 4 by 7 too. therefore, 4/7.
we aren't done. we multiply 4/7 * 25 to find out how many math problems jim can solve in 25 minutes.
about.. 14.29 and we need a whole number since you cant solve a decimal of a math problem so he can solve 14 math problems in 25 minutes.
Step-by-step explanation:
Answer:
43.57
Step-by-step explanation:
divide 4/4 and 7/4 to get the base amount of minutes per question then multiply 1.75 by 25 minutes