Total amount after 4 years will be $63. If he invest principle amount of $42 for rate of interest of 12.5%.
How to calculate total amount ?Simply multiply the principal amount by the interest rate and the time to calculate simple interest. "Simple Interest = Principal x Interest Rate x Time," the formula says. You must multiply the borrowed principal amount by 1 plus the interest rate.
The simple interest rate is the rate at which you borrow or lend money. When a borrower borrows money from a lender, the lender receives an additional sum of money. The principal is the borrowed money that is given for a specific period of time. The interest is the extra amount paid back to the lender for using the money.
First, converting R percent to r a decimal
r = R/100 = 12.5%/100 = 0.125 per year.
To find the total amount A = P (1+rt).
= 42(1 + 0.125 *6)
= $63
The total amount is $63
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2) On a multiple choice test with four possible answers for each question, what is the probability of
answering a question correctly if you make a random guess
A) 1/2
B) 1
C) 3/4
D) 1/4
ASAP 40 points picture attached
Answer:
1, 2, 5
Step-by-step explanation:
How do you do this question?
Problem 1
You are correct. The answer is choice C.A sequence is just a list of numbers where the order matters. Something like (1,2,3,4,5) is different from (3,1,2,5,4)
A series is where you add up that list of numbers to get a single value. For instance, the sum of the list (1,2,3) is 1+2+3 = 6. This is basically a partial sum when talking about infinite sequences because the next partial sum would be 1+2+3+4 = 10 and the next partial sum would be 1+2+3+4+5 = 15, and so on.
=======================================================
Problem 2
Answer: Choice AWhy is this? Each time we get a partial sum, we're basically forming a new sequence. We're forming a sequence of sums. Going back to the example in problem 1, we had the partial sums (6,10,15). If we keep this process going, we'll have the list of partial sums grow forever and not approach some finite value. Therefore, this series diverges.
If the sums were to slowly get closer to some fixed value, then we would say the series converges.
The classical approach to probability requires that the outcomes are _______.
Answer:
equally likely
Step-by-step explanation:
The classical approach to probability requires that the outcomes are equally likely.
Equally likely means the chance or possibility of selection in the sample is equal for them. None is prioritized over the other, all has the equal chance of being selected in the sample.
Given that we are using the classical approach to probability which is based on an assumption that for any procedure having random set of possible outcomes, the possibility of each outcome is equal.
Thus, the classical approach to probability requires that the outcomes are equally likely.
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Paul says that 150% of a number is the same as 100% of the number plus 50% of the number. Is he correct?
Answer:
He is correct.
Step-by-step explanation:
Use the order of operations to simplify
8.6 – 4.2+ io
3
Answer:
9/10
Step-by-step explanation:
8.6-4x2+3/10- multiply first 4x2=8
8.6-8+3/10 - subtract 8.6-8+.6
.6+3/10= 9/10
What are the differences of outputs for any two inputs that are 1 apart
A.-30
B.-25
C. 1
D.20
A container holds 5 1/3 pints of water. A bucket holds 1 1/4 times as much water than the other container how many pints of water does the bucket hold
The quantity of water that the bucket can hold given the quantity of water the container can hold is 6 2/3 pints.
How much water can the bucket hold?In order to determine the quantity of water the bucket can hold, we have to multiply the pints the container can hold by 11/4
5 1/3 x 1 1/4
Convert the mixed fractions to improper fractions
16/3 x 5/4 = 20/3 = 6 2/3 pints
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Please help me if u click there will be picture
Answer:
635,298
Step-by-step explanation:
We can group these by base ten values. 6 hundred thousands, 3 ten thousands, 5 thousands, 2 hundreds, 9 tens, and 8 ones. When putting them into place, we can go by order in which we will ger 635298
Answer:
635,298
Step-by-step explanation:
add all the numbers together to get the sum of your answer.
2k+8=0 Can someone help explain how to solves this please?
Answer:
2k + 8 = 0
2k + 8 - 8 = 0 - 8
2k = - 8
2k/2 = - 8/2
k = - 4
Step-by-step explanation:
you gotta put the 8 on the other side by subtracting and the divide both sides to get k
Answer:
k = -4
Step-by-step explanation:
2k + 8 = 0
Subtract 8 from both sides.
2k = -8
Divide both sides by 2.
k = -4
Solve the inequalities for x, and match each solution to its number line graph.
Two less than of a
number (x) is no more than .
The sum of two times a number (x)
and -2 is at least 8.
Seven subtracted from 4 times a
number (x) is more than 13.
Four added to 3 times a number (x)
is less than 19.
Answer:
I hope this helps!
Step-by-step explanation:
Write the slope-intercept form of the given line. Include your work in your final answer.
Answer:
y=1x+-1
Step-by-step explanation:
y=mx+b
m=slope which is 1/1 because it is rise over run (rising 1, running 1)
b=y-intercept form which is -1 because that is where the line meets the y axis
Graph and analyze the function f(x)= 1/x-2
3(x+2) = 3x + 6 is an example of which property?
Answer:
Distributivity.
Step-by-step explanation:
What is the average rate of change from n = 3 to n = 4 for the sequence a, = 1(2)n - 1?
Answer:
Depends on what sequence it is. For geometric it's 7/5 and for arithmetic - 2
Step-by-step explanation:
For n = 3:
a, = 1*2*3 - 1 = 5
For n = 4:
a, = 8 - 1 = 7
These are the terms for n = 3 and n = 4 but the thing is, this could be both geometric sequence and arithmetic sequence, since you didn't specify, here are the possible answers:
For geometric sequence, the rate of change is equal to An / An-1 therefore:
r = 7 /5
For arithmetic sequence, it's equal to A2 - A1 = 7 - 5 = 2
PLEASE HELP! WILL GIVE BRAINLIEST
y = sec(x) has a range of f(x) ≤ -1 and f(x) ≥ 1
Thus does not include zero in the range scale.
Extra's:
y = cos(x) has a range of -1 ≤ f(x) ≤ 1
y = cot(x) has infinity range
y = tan(x) has infinity range.
Answer:
sec x
Step-by-step explanation:
Let's set each function equal to zero to see if they have zero in their function.
If there is no solution, then we no solution of zero.
[tex] \cos(x) = 0[/tex]
[tex]x = \frac{\pi}{2} + 2\pi(n)[/tex]
So there is a solution of zero.
[tex] \cot(x) = 0[/tex]
[tex] \frac{ \cos(x) }{ \sin(x) } = 0[/tex]
There answer here is
[tex]x = \frac{\pi}{2} + 2\pi(n)[/tex]
So there is a solution. of zero here
If cot x=0, has a solution of zero, then tan x does as well. Since we can use
[tex] \frac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]
[tex] \frac{ \sin(x) }{ \cos(x) } = 0[/tex]
The answer here will be
[tex]0 + 2\pi(n)[/tex]
So that leaves sec x.
Proof:
[tex] \sec(x) = \frac{1}{ \cos(x) } [/tex]
1 divided by any number won't equal zero, so the solution will never be 0.
10. Which values are solutions of 2x - 1 = 7? Select ALL that apply. Show
work. *
x = -4
X = -3
X = 3
x = 4
Answer:
X=4
Step-by-step explanation:
2(4)-1=7
8-1=7
7=7
Two math
teachers are having a conversation as they go to lunch.
Pointing
across the street, Mr. Smith says, “That’s one of my sons sitting over there in
the park.” Mrs. Jones
asks Mr. Smith how many children he has. “My son has
as many sisters as he has brothers. Each
of his sisters has twice as many brothers as she has sisters. How
many children does Mr. Smith have?
Based on the data provided and using logical reasoning, Mr Smith has seven children, four sons and three daughters.
What is logical reasoning?Logical reasoning means using critical thinking skills to provide solutions to given problems.
The number of children Mr. Smith has can be determined by using the skill of logical reasoning.
Mr Smith has at least one son.He also has at least two daughters.Assuming that son has two brothers, then he also has two sisters.
Each sister has one sister and three brothers.
This scenario does not satisfy the conditions.
Assuming that son has three brothers, then he also has three sisters.
Each sister has two sisters and four brothers.
Therefore, Mr Smith has seven children, four sons and three daughters.
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Which point is collinear with points A and B?
B
R.
O R
Answer:
R
Step-by-step explanation:
collinear points lie on the same line
R is on the line joining AB
13. Solve the inequality.
4(x + 3) – 7 2 x + 3(x + 1)
Answer:
x= -2 -3
Step-by-step explanation:
4x+12-72x+3x+3
15-65x
5(3-13x)
pls heart and give brainliest much appreciated
Answer: 5(3-13x)
Step-by-step explanation:
4x+12-72x+3x+3
15-65x
5(3-13x)
Find the measure of angle a.
a
50°
Answer:
the measure of angle is m(<a)=40
Step-by-step explanation:
the intirior angles of all triangles add up to 180
with this you can subtract the 90 degree angle and the 50 degree angle from the total of 180 degrees.
180
90
-50
---------
=40 degreese
hoped this helped.
Step-by-step explanation:
a+50+90=180°(being sum of angle of right angled▲)
or, a+140= 180°
or, a=180°_ 140°
Therefore, a=40°
can someone answer this question plsss
Answer:
1. A.
2. B.
3. C.
4. A.
Hope this helped!
what is the correct answer to this problem?
x-3-10= -5
Answer:
ight combine like terms so you get x-13=-5 then you add 13 which gives you x=8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
because 8-3-10 is equal to -5
Find the outer perimeter of this figure.
Round your answer to the nearest
hundredth. Use 3.14 to approximate.
Answer:
P = 28.66 ft
Step-by-step explanation:
So perimeter of half circle
= 2π × 6/2
= 2π × 4/2
= 8π ft/2
= 4 π
Total Perimeter = 6 ft + 8π/2 ft + 10 ft +
= 6 ft + 4 π ft + 10 ft
= 28.666 ft
Total Perimeter = 28.66 ft
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY
Answer:
28.56
Step-by-step explanation:
The sides of the triangles are already given, so that will be 16. The diameter of the circle is given to be 8, so the radius will be half of it, 4. The circumference of a circle 2πr, so the circumference is 8π. we need to divide this by two because it is a semicircle, so the circumference of the semicircle is 4π. The answer should be 16+4π, and we can substitute in 3.14 for π to get 12.56+16=28.56
Hope this helps!
The cardinals played 48 games . They won twice as many as they lost . How many did they win?
Answer:
They won 32
Step-by-step explanation:
16 is half of 32
32+16=48
can 4 millimeters, 9 millimeters, 9 millimeters make a triangle
Answer:
yes
Step-by-step explanation:
Acute isosceles triangle.
Sides: a = 9 b = 9 c = 4
Area: T = 17.55
Perimeter: p = 22
Which is the better buy?
3-gallon container of disinfectant for $34.56
368 fluid ounce container of disinfectant for $62.56
Answer:
so one gallon is 11.521 fluid ounce container of disinfectant for 0.17mary brought 143.4 ounces of flour and she used 16.88 ounces of it to make biscuit how much is left
Answer:
126.52 ounces left but rounding up 127
fred has thirty-two green marbles. jason has sixteen times more green marbles than Fred. how many green marbles does Fred and Jason have?
Answer:
fred has 32 and jason has 48
Step-by-step explanation:
32+16=48
Examine the ordered pairs in this relation. (8,5), (-3,8), (11, -1), (10,-5), (4,4) Which numbers are input values of the relation?
Answer:
{-3, 4, 8, 10, 11}
Step-by-step explanation:
The ordered pairs are usually defined as (input, output). That is, the input values of the relation are all of the first-numbers of the pairs:
{8, -3, 11, 10, 4}
We usually like to list members of a set in numerical order:
{-3, 4, 8, 10, 11} . . . . input values of the relation