Answer:
principal is $15112
Step-by-step explanation:
25000=P(1+ 0.028/12)^(12times18)
The principal amount of the savings is $15111.6
How to determine the principal amount?The given parameters are:
Interest rate, r = 2.8%Amount, A = $25,000Time, t = 18 yearsNumber of times compounded, n = 12 i.e. monthlyAmount is calculated using:
A = P(1 + r/n)^nt
So, we have:
25000 = P(1 + 2.8%/12)^(12 * 18)
Make P the subject
P = 25000/(1 + 2.8%/12)^(12 * 18)
Evaluate the expression
P = 15111.6
Hence, the principal amount is $15111.6
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g(x)=x^2-5x
f(x)=2x+1
Find (g-f)(x)
Answer:
(g-f)(x) = x²-7x -1
Step-by-step explanation:
hello :
g(x)=x²-5x f(x)=2x+1
(g-f)(x) =g(x) - f(x) = x²-5x- ( 2x+1 ) = x²-5x - 2x-1
(g-f)(x) = x²-7x -1
"A driving instructor is investigating whether the time a driver spends in a driverâs education course improves their score on the driverâs test. The instructor randomly selected 10 drivers from a driverâs education course and recorded the number of hours each driver attended the driverâs education course and their corresponding score on the driverâs test. Assuming all conditions for inference are met, which of the following significance tests should be used for the investigation?"
a. A chi-square test of independence
b. A two-sample t-test for a difference between means
c. A two-sample z-test for a difference between proportions
d. A linear regression t-test for slope
e. A matched pairs t-test for a mean difference
Answer:
e. A matched pairs t-test for a mean difference
Step-by-step explanation:
When the observations from two samples are paired either naturally or by design we find the differences between the two observations of each pair.Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknwn standard deviation σd we perform one sample t- test on them. This is called the paired difference t- test or a paired t- test.
Suppose 10 young recruits are given a physical training by the Army . Their weights are recorded before and after the training. These observations constitutes natural pairing .
When we eliminate the undesireable sources of variation to take observations in pairs , this is called pairing by design.
NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL
Answer:
angle b= 86 degrees
Step-by-step explanation:
hope this helps, have a nice day :)
a group of students collected old newspapers for a recycling project. the data shows the mass, in kilograms, of old newspapers collected by each student.
23, 35, 87, 64, 101, 90, 45, 76, 105, 60, 55
98, 122, 49, 15, 57, 75, 120, 56, 88, 45, 100.
A.) Find the range of the mass of the newspapers collected.
B.) Find the interquartile range.
Answer:
A. 107 kg
B. 49 kg
Step-by-step explanation:
2. Which of the following is considered an
asset?
A Savings account
B Credit card debt
C Personal loan
D Mortgage
Answer:
A
Step-by-step explanation:
All of the rest you have to pay off. A savings account is a good place to keep money safe for the future, and you can also make interest.
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Answer:
the answer is 7 feet
Step-by-step explanation:
28/4=7
What is the period of f(x) = sin(x)?
Pi over 2
Pi
3 pi over 2
2 pi
Answer:
2pi
2pi radians are equal to 360 degrees. After this point, the function f(x) = sin(x) repeats its values again. Each cycle is 2pi radians long.
Step-by-step explanation:
13
What is the inverse of when
15
multiplying fractions?
13
A
15
15
B
13
13
C с
13
15
D
15
Answer:
Step-by-step explanation:
15x13=?
15+15+1=31
so the answer is 31
WILL MARK BRAINLIEST
Solve for x.
60
10
20
120
Answer:
x = 10
Step-by-step explanation:
Let's draw the center of the circle S and the segments SE and SD.
SE is perpendicular to EF (as EF is tangent to circle).
That means FED + DES = 90deg
We also know that DSE = 120deg
And because the SED is an isosceles triangle, we know that angle measures for DES and SDE are equal.
DES = (180deg - 120deg) / 2 = 30deg
FED = 90deg - DES = 90deg - 30deg = 60deg
7x - 10 = 60
7x = 70
x = 10
PLEASE HELP:):):):):):):):)
Answer:
[tex]Area = 8[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Determine the area
The shape is a trapezium. So, the area is:
[tex]Area = \frac{1}{2} *(Sum\ of\ parallel\ sides) * Height[/tex]
From the attached,
The height is 2
The parallel sides are: 2 and 6
So, the area is:
[tex]Area = \frac{1}{2} *(2 + 6) * 2[/tex]
[tex]Area = \frac{1}{2} *8 * 2[/tex]
[tex]Area = 8[/tex]
Hence, the area is 8 units square
Find the area of the trapezoid.
22.2 cm
9.86 cm
8.52 cm
[? ]cm2
Enter the exact answer. Do not round
Answer:
151.4496
Step-by-step explanation:
it has not been rounded or anything that is the exact answer
Answer: 151.45 (151.4496)
Step-by-step explanation:
Formula: A = (a+b)/2 * h
Base = 22.2
Base = 8.52
Height = 9.86
Do the following:
(22.2+8.52)/2 * 9.86 = 151.4496
Find g(-6) when g(x)
= x+3/x-1
Answer: The answer would be 3/7.
Step-by-step explanation:
25. Which two conversions are correct?
A. 7 mm = 70 cm
B. 7 cm = 0.07 m
C. 7,000 m = 7 km
D. 0.7 cm = 70 mm
E. 7 m = 7,000 km
Answer:
The answer is B and C
Step-by-step explanation:
1 Meter is equal to 0.001 Kilometer
1 Centimeter is equal to 0.01 Meters
The unit conversions which has the true measurements are
a) 7 cm = 0.07 m
b) 7,000 m = 7 km
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the unit conversion be represented as A
Let the first measurement be p
where the value of p is
p = 7 cm
From the unit conversion , 1 m = 100 cm
So , 7 cm = 0.07 m
And , let the second measurement be q = 7,000 m
From the unit conversion , 1 km = 1,000 m
7,000 m = 7 km
Hence , the unit conversions are solved
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A farmer is building a fence to enclose a rectangular area against an existing wall. Three of the sides will require fencing and the fourth side is a wall that already exists. If the farmer has 148 feet of fencing, what is the largest area the farmer can enclose?
Answer:
Step-by-step explanation:
There are several things we need to know to solve this: the perimeter formula of a rectangle, the area formula of a rectangle, and how to complete the square to find the answer. First of all, if the farmer has 148 feet of fencing to enclose 3 sides of a rectangle, the perimeter formula we need will include only 3 sides, the 2 widths and the 1 length:
P = 2w + l; solving for l and filling in our length of fencing gives us:
l = 148 - 2w
The area then for this will be:
A = (148 - 2w)(w) which is the same thing as length times width (area for a rectangle). Multiplying that out gives us:
[tex]A=148w-2w^2[/tex]. Let's rearrange that and put it into descending order so we can complete the square on it:
[tex]A=-2w^2+148w[/tex]
The reason we want to complete the square is because the answer that results from that will give us the dimensions of the rectangle (the width and the length) and also the area. Completing the square maximizes (or minimizes) area.
To complete the square, first factor out the -2 since the leading coefficient when you complete the square has to be a +1. When we do that we get:
[tex]A=-2(w^2-74w)[/tex]. Set it equal to 0 so we can factor it:
[tex]-2(w^2-74w)=0[/tex]
The idea now is to take half the linear term (the term stuck to the w), divide it in half, then square that number. Our linear term is 74. Half of 74 is 37, and 37 squared is 1369. So we add 1369 to both sides, the left side first:
[tex]-2(w^2-74w+1369)=...[/tex]
But we didn't just add in 1369. There's a -2 out front there that refuses to be ignored. It's a multiplier. What we ACTUALLY added in was -2 times 1369 which is -2738; therefore:
[tex]-2(w^w-74w+1369)=-2738[/tex]
The left side can be simplified down to a perfect square binomial:
[tex]-2(w-37)^2=-2738[/tex]
Now we'll add over the -2738:
[tex]-2(w-37)^2+2738=y[/tex] and from there determine our answer. The (w-37) term is the width of the rectangle; therefore, the length is 148 - 2(37) which is 74; the total area if the 2738. Completing the square gives us the vertex form of the parabola; the vertex is (37, 2738) where 37 is the width of the rectangle and 2738 is the max area.
Hannah invested $96,000 in an account paying an interest rate of 6\tfrac{1}{2}6 2 1 % compounded quarterly. Evelyn invested $96,000 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Evelyn's money to double than for Hannah's money to double?
Answer:
.37 years
Step-by-step explanation:
I did this one in delta math
pls help and explain why and i’ll give brainly
Answer:
No.
Step-by-step explanation:
The x values (inputs) are used multiple times (the 4 has 2 arrows coming out of it). Only y values can be repeated, but not X values.
If this truly helps you, help me out too, and thank me.
-Xax
Answer:
No
Step-by-step explanation:
A function gives only one output per input, which means an x value can only give one y value. Assuming the right side is f(x) and the left is x:
-4 points to both 12 and 15 which isn't possible for a function
Find the average number of people in these cities: New York, Philadelphia, Chicago and Detroit a. 3.35 million b. 40 million. C. 4.0 million d. 33.million
Answer:
The answer is maybe going to be D which is 33 million
Step-by-step explanation:
New york is a big city
What is the word form of the number 43.06? A forty-three and six B forty-three and six tenths c forty-three and six hundredths D forty-three and six thousandths
it is C forty-three and six hundredths.
1/3x + 2 =4 I need it ASAP
Answer:
x=1/6 or 0.16
Step-by-step explanation:
x has to be whatever makes the equation true.
does 1/3 +2= 4 alone no does it = 4 when you do the 1/3(1/6) yes
The diameter of a circle is 10 ft. Find its area to the nearest tenth.
Answer:
15.70
Step-by-step explanation:
Answer:
78.5
Step-by-step explanation:
Formula: a = πr², r = d/2
Given: π = 3.14, d = 10
Sub: a = (3.14)r²
Find r.
r = 10/2
r = 5
Sub: a = (3.14)5²
Simplify: a = (3.14)25
Solve: a = 78.5
The answer is 78.5.
If this truly helped you, help me out by thanking me.
-Xax.
Find the value of x in the parallelogram below.
Answer:
B) x = 12
Step-by-step explanation:
m∡EOU = m∡TQE
m∡EOU =180 - (39+45) = 96°
m∡TQE: 7x + 12 = 96
7x = 84
x = 12
A survey found that 20% of the people in Fiji drive the car without seatbelt. If 3 people are randomly selected, find the probability that at least 2 drive without seat.
Answer:
0.104 = 10.4% probability that at least 2 drive without a seatbelt.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they drive without a seatbelt, or they do not. The probability of a person driving without a seatbelt is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of the people in Fiji drive the car without seatbelt.
This means that [tex]p = 0.2[/tex]
3 people are randomly selected
This means that [tex]n = 3[/tex]
Find the probability that at least 2 drive without a seatbelt?
This is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{3,2}.(0.2)^{2}.(0.8)^{1} = 0.096[/tex]
[tex]P(X = 3) = C_{3,3}.(0.2)^{3}.(0.8)^{0} = 0.008[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) = 0.096 + 0.008 = 0.104[/tex]
0.104 = 10.4% probability that at least 2 drive without a seatbelt.
Which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"
-8
Og+3
8
9+3
-8+g
3
+3
Answer:
[tex]\dfrac{-8}{x+3}[/tex]
Step-by-step explanation:
We need to find an algebraic expression for the given statement i.e. "the quotient of negative eight and the sum of a number and three".
Let the number be x. Quotient means to divide. It means we need to divide -8 and the sum of x and 3.
So, we can write it as follows :
[tex]\dfrac{-8}{x+3}[/tex]
Hence, this is the required solution.
Please help me I really need it
Answer:
Angle C
Step-by-step explanation:
By applying sine rule in the given triangle,
[tex]\frac{\text{sinB}}{CD}=\frac{\text{sinC}}{BD}=\frac{\text{sinD}}{BC}[/tex]
[tex]\frac{\text{sinB}}{\text{sinC}}=\frac{\text{CD}}{\text{BD}}[/tex]
Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.
Since, BD > BC > CD
Therefore, Opposite angles of these sides will be in the same ratio.
∠C > ∠D > ∠B
Largest angle of the triangle is angle C.
ale.
2 Emily saw an anaconda snake at the zoo
that was 24 feet 6 inches long. Which
equation can Emily use to find L, the length
of the snake in inches only?
QL = (24 + 12) + 6
QL = (24 x 10) + 6
L = (24 + 6) + 12
L = (24 * 12) + 6
eset in
5
Answer:
L=(24*12) + 6
Step-by-step explanation:
24 feet by 12 since each foot is 12 inches after that you'll need to add the rest of the inches you've already measured which is why you add 6
A sphere has a radius of 2 m. Calculate its surface area. Round to the nearest whole number
a
b.
50 sq.m
113 sq.m
C.
d.
212 sq.m
103 sq.m
Please select the best answer from the choices provided
A
Answer:
50 square meters should be your answer
Step-by-step explanation:
The formula of the Surface Area of a sphere is 4πr2 (4*r*squared)
if the radius of the sphere is 2 m, our formula will become 4π(2)[squared]
let us break this down into two pieces:
4π = 12.5663706144
2[squared] = 4
Then when we multiply our answers:
12.5663706144 * 4 = 50.2654824576
since it says to round it to the nearest whole number, we can round this to 50
I HOPE YOU HAVE A WONDERFUL DAY AND GET THIS CORRECT!!!
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1) Madison went shopping and spent $125 she paid $45 in Texas what was the sale tax rate (percent)
Answer:
170
Step-by-step explanation:
How the sales tax de-calculator works
Step 1: take the total price and divide it by one plus the tax rate.
Step 2: multiply the result from step one by the tax rate to get the dollars of tax.
Step 3: subtract the dollars of tax from step 2 from the total price.
Pre-Tax Price = TP – [(TP / (1 + r) x r]
TP = Total Price.
What fraction of 2 minutes is 6
seconds?
Answer:
1/20 of 2 minutes = 6 seconds
Answer:
1/20; 0.05; 5%
Step-by-step explanation:
Well, 2 minutes is 120 seconds, 6/120 simplified is 1/20, and decimal form would be 0.05, which is 5%
To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.
Answer:
A
Step-by-step explanation:
We want to solve the equation:
[tex]5\sin(2x)=3\cos(x)[/tex]
To do so, we can rewrite the equation.
Recall the double-angle identity for sine:
[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]
By substitution:
[tex]5\left(2\sin(x)\cos(x)\right)=3\cos(x)[/tex]
Distribute:
[tex]10\sin(x)\cos(x)=3\cos(x)[/tex]
We can subtract 3cos(x) from both sides:
[tex]10\sin(x)\cos(x)-3\cos(x)=0[/tex]
And factor:
[tex]\cos(x)\left(10\sin(x)-3\right)=0[/tex]
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0 and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
A. cosx(10sinx-3)=0
Step-by-step explanation:
5(2sinxcosx)=3cosx
10sinxcosx-3cosx=0
cosx(10sinx-3)=0
Write the proportion.
8.5 hours is to 3.4 hours as
7.0 hours is to 2.8 hours?
