Answer:
I. Simple interest = $19.753
II. Compound interest = $1007.6
Step-by-step explanation:
Given the following data;
Principal = $987.65
Interest rate, R = 0.4%
Time, T = 5 years
To find the simple interest;
S.I = PRT/100
S.I = (987.65*0.4*5)/100
S.I = 1975.3/100
S.I = $19.753
II. To find the compound interest;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Substituting into the formula, we have;
[tex] A = 987.65(1 + \frac{0.4}{100})^{5}[/tex]
[tex] A = 987.65(1 + 0.004)^{5} [/tex]
[tex] A = 987.65(1.004)^{5} [/tex]
[tex] A = 987.65(1.0202)[/tex]
A = $1007.6
Thirty percent of credit card holders carry no monthly balance, while 70% do. Of those card holders carrying a balance, 30% have annual income $20,000 or less, 40% between $20,001 - $50,000, and 30% over $50,000. Of those card holders carrying no balance, 20%, 30%, and 50% have annual incomes in these three respective categories.
a) What is the probability that a randomly chosen card holder has annual income $20,000 or less?
b) If this card holder has an annual income that is $20,000 or less, what is the probability that (s)he carries a balance?
Answer:
a) 0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less.
b) 0.778 = 77.8% probability that (s)he carries a balance
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a) What is the probability that a randomly chosen card holder has annual income $20,000 or less?
20% of 30%(carry no balance).
30% of 70%(carry balance). So
[tex]P = 0.2*0.3 + 0.3*0.7 = 0.06 + 0.21 = 0.27[/tex]
0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less.
b) If this card holder has an annual income that is $20,000 or less, what is the probability that (s)he carries a balance?
Conditional probability.
Event A: Annual income of $20,000 or less.
Event B: Carries a balance.
0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less
This means that [tex]P(A) = 0.27[/tex]
Probability of a income of $20,000 or less and balance.
30% of 70%, so:
[tex]P(A \cap B) = 0.3*0.7 = 0.21[/tex]
The probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.21}{0.27} = 0.778[/tex]
0.778 = 77.8% probability that (s)he carries a balance
Please see attached pic
Answer:
D is the correct answer.
Step-by-step explanation:
-Subtract final value by start value
-Divide by start value
-Multiply by 100
Answer:
33%
Step-by-step explanation:
Please help me 7th grade math math
Answer: 1/8
Step-by-step explanation: hoped this helped:))
Answer:
i think its 1/3
Step-by-step explanation:
The net of a triangular prism is shown
below.
8.5 cm
10 cm
10 cm
10 cm
What is the total surface area of the prism?
A 470 cm?
C 390.5 cm?
B 385 cm
D 342.5 cm
Answer:
i think a.... sorry if im wrong
Step-by-step explanation:
A quarter has a diameter of 24 mm.
Which measurement is closest to the
circumference of the quarter in
millimeters?
A. 452.39 mm
B. 37.7 mm
C. 75.4 mm
D. 150.8 mm
Answer:
C or D
Step-by-step explanation:
Can someone help me with this problem please. ( I need it as fast as possible).
Answer:
D-B-A-C
Step-by-step explanation:
Help please I’ll give extra points
At 3:30 p.m., you have 15 megabytes of a movie. At 3:45 p.m., you have 75 megabytes. What is the download rate in megabytes per minute?
Helppppp plzzzzzzz!!!!! 15+PTS and brainliest!!!!!!!!! ASAP plzzz!!!!!!!!
Answer:
75 FT
Step-by-step explanation:
Multiple 5 by 4 for each of the three squares, then multiply 5 by 3 for each triangle and divide it by 2. Add them all together and you get 75.
Answer:
75 Ft
Step-by-step explanation:
I told you im surewhwhwhhwhshsbsbwbsbsbsbs
1. Consider the surface area of the pyramid shown.
(a) Draw a net for the pyramid. Label all sides with measurements.
(b) Write an expression for the surface area of the pyramid and then find the surface area.
Answer:
i am also trying to figure out a
Step-by-step explanation:
simplify 3 times x² times y times 4z times x times 2y times z
Answer:
3(x^2 x Y)(4z x X)(2y x Z)
Step-by-step explanation:
Answer:
[tex]3(x^{3} * 2y^2*4z^2)[/tex]
Step-by-step explanation:
x^2(x) = x^3
2y(y) = 2y^2
4z(z) = 4z^3
Multiple it all by 3
Find the value of y. geometry!!
Answer:
y = 54
Step-by-step explanation:
Once again we are going to use the inscribed angle and intercepted arc relationship where the inscribed angle is equal to half of the measure of the intercepted arc.
Angle "y" is the inscribed angle and its intercepted arc has a measure of 108°
So y = one half of 108
[tex]\frac{108}{2} =54[/tex]
So we can conclude that y = 54
What do those emojis mean in words?
4. Let's say we do an opinion poll and find that 56% of the people say the Green Bay Packers
are their favorite team, while 22% choose the Chicago bears, and 10% choose the Dallas
Cowboys. What percent of people must have a favorite team other than these three teams?
Mario traced this trapezoid.
Answer:
84sq. in
Step-by-step explanation:
Area of the rectangle = length * width
Given
Length = 7in
Width = 12in
Area of the rectangle = 7in * 12in
Area of the rectangle = 84sq. in
Hence the area of the rectangle is 84sq. in
If a•b=b, what must the value of a be?
A.1
B.0
C.2
D.b
Answer:
a
Step-by-step explanation:
an example
1x2=2
1 is a, 2 is b, see they equal the same 2 and 2.
Answer:
B. 0
Step-by-step explanation:
Any number multiplied by 0 equals zero.
GIVING EVERYTHING IF CORRECT. No fake answers, you will be reported.
Answer:
the answer is 78.5 square units i think
Step-by-step explanation:
Answer:78.5 square units.
Explanation:
Find the volume of the pyramid.
Please Help!
Answer:
144cm
Step-by-step explanation:
Just search it up lol
Help please I’ll give extra points and brainlist
Answer:
Step-by-step explanation:
Probably D, he's measuring voltage across the wire.. and then across the light bulb, there would be very little across the wire and a lot across the light bulb
A rectangular pool is being constructed with a length that is four times the width. There will be a walkway constructed around the pool that is 6 feet wide all around. Write a factored expression for the area in square feet of the pool and the walkway combined.
Answer:
(4x²+36) feet²
Step-by-step explanation:
Area of the pool = L × W
Take width as x and Length as 4x
4x × x = (4x²)feet² {area of pool}
Area of walkway = L × W
6 × 6 = 36feet²
Total area = 4x² + 36 feet²
The length of a rectangle is 2 meters longer than the width. If the area is 30 square meters, find the rectangle's dimensions.
40 POINTS!!!
Two construction companies are building homes in a new neighborhood. Company A has built 18 homes and plans to build an additional 6 homes each month. Company B has built 41 homes and plans to build an additional 4 homes each month. if building goes according to their plans, in how many months will the total number of homes built by the companies be equal to each other?
Answer:
14 months until there equal
Answer:
14 months
Step-by-step explanation:
In each case, calculate the circumference and the area.
The radius is 22 cm.
Your answer
Answer:
Circumference of circle = 138.28 cm (Approx.)
Area of circle = 1,521.11 cm² (Approx.)
Step-by-step explanation:
Given:
Radius of circle = 22 cm
Find:
Circumference of circle
Area of circle
Computation:
Circumference of circle = 2πr
Circumference of circle = 2(22/7)(22)
Circumference of circle = 2(3.1428)(22)
Circumference of circle = 138.2832
Circumference of circle = 138.28 cm (Approx.)
Area of circle = πr²
Area of circle = (22/7)(22)²
Area of circle = (3.1428)(22)(22)
Area of circle = 1,521.1152
Area of circle = 1,521.11 cm² (Approx.)
Evaluate the piecewise function when x = -1.
Step-by-step explanation:
-2<-1<1, so f(-1)=-1-2=-3
Will give brainliest
Answer: Because the question uses the word “distinct” meaning obvious, and clear, I would select AB, AC, CB. (If it’s asking for all the possible line segments, I would select AB, AC, CB, BA, CA, BC).
Which expression below has the same value as
6
9?
Which expression below has the same value as
6
9?
Answer:
answer is c no because 9 power six so, we have to write 9 number 6 times
PLZ GIVE BE BRAINLIEST ANS+THANKS :(
Answer:
C,
Step-by-step explanation:
Hey there the answer is C 9x9x9x9x9x9 i did it 6 times because the exponent was 6
Find the surface area of each figure to the nearest tenth.
Answer:
A≈471.24 is the surface area of the cylinder
58m^2 is the surface area of the triangular prism
Step-by-step explanation:
Solution
A=2πrh+2πr2=2·π·5·10+2·π·52≈471.2389
Triangle area formula
area = 0.5 * b * h , where b is the length of the base of the triangle, and h is the height/altitude of the triangle.
4(2.5)+8(6)
10+48=58m^2
Hope this helped!!!
Solve this simultaneous equation x+2y=11
x-2y=1
Answer:
Equation 1,
[tex]x + 2y = 11[/tex]
Equation 2,
[tex]x - 2y = 11[/tex]
Take equation number 2.
[tex]x - 2y = 11 \\ x = 11 + 2y[/tex]
Substitute 'x' in Equation number 1.
[tex]x + 2y = 11 \\ 11 + 2y + 2y = 11 \\ 11 + 4y = 11 \\ 4y = 11 - 11 \\ 4y = 0 \\ y = \frac{0}{4} \\ y = 0[/tex]
y = 0.
So x,
[tex]x = 11 - 2y \\ x = 11 - 2(0) \\ x = 11 - 0 \\ x = 11[/tex]
x = 11.
Answer:
using elimination method multiply both equations by 2...then subtract equation 2 from 1
Which function is continuous at x = –4?
Answer:
The correct answer is C. I tried B and got it wrong
Step-by-step explanation:
Patricia rode her bike at a constant rate of 0.3 kilometer per
minute. Which table represents y, the number of kilometers
Pamela rode her bike in x minutes?
A
Number of
Minutes, x
Number of
Kilometers, y
Number of
Minutes,
Number of
Kilometers, y
5
03
5
0.1
10
03
10
02
15
0.3
15
0.3
20
03
20
0.4
D
Number of
Minutes,
Number of
Kilometers, y
Number of
Minutes,
Number of
Kilometers,
5
15
5
53
10
3.0
10
1013
15
45
15
153
20
GO
20
203
Answer:
C
Step-by-step explanation: