Answer:
555
Step-by-step explanation:
Wyatt is paying back a loan with a nominal interest rate of 13.62%. if the interest is compounded quarterly, how much greater is wyatt’s effective interest rate than his nominal interest rate? a. 0.96 percentage points b. 0.40 percentage points c. 0.25 percentage points d. 0.71 percentage points
The amount that Wyatt’s effective interest rate is greater than his nominal interest rate is given by: Option D: 0.71% points
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
It is provided that:
Nominal interest rate = 13.62% compounding quarterly.
usually, interest rates are given in annual terms.
Converting 13.62 in quarterly terms, we get:
R = [tex]13.62/4 = 3.405\%[/tex] (as there are 4 quarters annually)
This rate is quarterly and is compounding quarterly.
Since these two things matched (the rate is in quarter version and so as the compounding of interest), we can take:
Unit of time = quarter of an year
Getting effective interest means interest that the principal grows by in one year.
One year = 4 quarters = 4 times unit of time.
Thus, T = 4
Thus, compound interest would be:
[tex]CI = P(1 +\dfrac{R}{100})^T - P = P( (1+3.405/100)^4 - 1) \approx P(0.1433)[/tex]
Taking its percent compared to principal amount P:
[tex]\dfrac{P(0.1433)}{P} \times 100 = 14.33\%[/tex]
Thus, the effective interest rate is 14.33%
The difference between effective and nominal interest rate is:
14.33 - 13.62 = 0.71%
Thus, the amount that Wyatt’s effective interest rate is greater than his nominal interest rate is given by: Option D: 0.71% points
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Answer:
option D
Step-by-step explanation:
Solve the matrix E-F
Answer:
see attached
Step-by-step explanation:
Matrix addition, subtraction, and multiplication by a scalar are all done term by term. For example, the (1,1) term of the difference is the difference of (1,1) terms of matrices E and F.
The difference is ...
[tex]\left[\begin{array}{cc}6-(-1)&-2-5\\9-10&4-7\end{array}\right] =\boxed{\left[\begin{array}{cc}7&-7\\-1&-3\end{array}\right] }[/tex]
__
If you have trouble doing these operations in your head, a calculator or spreadsheet can help.
5+(-12)-(-7)=
simplify
Answer:
0
Step-by-step explanation:
First add -12 + 7 then 5+ -5
Please help me I’m begging
Make an equation)
Given the number of people that are going on the trip, what is the total amount you will spend on food and lodging each day?
$700
Given the number of people that are going on the trip, what is the total amount you will spend on luggage for everybody?
600
Now use the amount you spend on Daily expenses to make an equation in y=mx+b form that will give you the expenses (y) for any amount of days (x).
Total Expense equation:
Answer:
answer is equals to y = 700x + 600
Step-by-step explanation:
600 doesn't depend on anything hence it is b
If ST=w–47 and RU=w–63, what is the value of w?
Answer:
w = 79
Step-by-step explanation:
We know that RU us a midsegment so it must be 1/2 of ST.
So ST = 2RU.
w-47 = 2(w-63)
w-47 = 2w-126
-w = -79
w = 79
Lewis can run up to about 50 kilometers when he runs. His usual training
distance is 20 kilometers. If the variable d stands for the distance Lewis can
run, which of the following units could apply to that variable?
O A. inches
O B. gallons
O C. kilometers
O D. pounds
SUBMIT
Which of the following relations are not functions? Select all that apply. {(1, 3), (3, 7), (5, 11), (7, 15), (9, 19)} {(1, 3), (1, 7), (5, 11), (5, 15), (9, 19)} {(−2, 4), (−1, 1), (0, 0), (1, 1), (2, 4)} {(2, 4), (1, 1), (0, 0), (1,−1), (2, −4)} {(6, 3), (4, 1), (2, 1), (0,−1), (−2,−3)} {(1, 3), (3, 7), (3, 11), (7, 15), (9, 19)} {(1, 3), (3, 7), (5, 11), (9, 15), (9, 19)}
Given:
7 relations are given.
To find:
The relation which is not a function.
Step-by-step explanation:
A relation is called function if there exist unique output for each input.
It means, each x-value has only one y-value.
{(1, 3), (3, 7), (5, 11), (7, 15), (9, 19)}, it is a function.
{(1, 3), (1, 7), (5, 11), (5, 15), (9, 19)}, it is not a function because there exist two y-values y=3 and y=7 at x=1.
{(−2, 4), (−1, 1), (0, 0), (1, 1), (2, 4)}, it is a function.
{(2, 4), (1, 1), (0, 0), (1,−1), (2, −4)},it is not a function because there exist two y-values y=4 and y=-4 at x=2.
{(6, 3), (4, 1), (2, 1), (0,−1), (−2,−3)}, it is a function.
{(1, 3), (3, 7), (3, 11), (7, 15), (9, 19)}, it is not a function because there exist two y-values y=7 and y=11 at x=3.
{(1, 3), (3, 7), (5, 11), (9, 15), (9, 19)}, it is not a function because there exist two y-values y=15 and y=19 at x=9.
Therefore, the correct options are 2, 4, 6 and 7.
Denver, Colorado often experiences snowstorms resulting in multiple inches of accumulated snow. During the last snow storm, the snow accumulated at 4/5 inch per hour. The snow continues at this rate for 10 hours. What is the ratio of the amount of snow in inches to the amount of time in hours? *
Answer: 8 inches: 10 hours
Step-by-step explanation:
From the above question, we are informed that during the last snow storm, the snow accumulated at 4/5 inch per hour and that the snow continues at this rate for 10 hours.
The the ratio of the amount of snow in inches to the amount of time in hours first thus:
We have to calculate the amount of snow in inches first. This will be:
= 4/5 × 10
= 8 inches
Therefore, the the ratio of the amount of snow in inches to the amount of time in hours will be 8 inches for 10 hours
Taylor makes necklaces and bracelets to sell at local craft fairs. If 65% of the jewelry she made today was necklaces, and she made 200 total pieces, how many necklaces did she make? How many bracelets did she make?
Answer:
d
Step-by-step explanation:
A taxi driver charges an intial fee of $4.00 plus $1.50 per mile driven. What is the total cost of a taxi ride that is 6 miles to
your destination?
Answer:
the expression would be 4 + 1.50m. (m is miles driven) but it would cost 13 dollars
Step-by-step explanation:
multiply 1.50 by 6 and get 9. add 4 (the initial fee) and you get $13
Evaluate mentally: What number is the solution: d – 14 = 27
Answer:
d = 41
Hope this helps!
Please help me with this!!!
Answer:
Divide each number by 2 then translate them
Which expression is equivalent to 6–3? –63 36 rootindex 3 startroot 6 endroot (one-sixth) cubed
Answer:
its D
Step-by-step explanation:
The equivalent expression is (1/6)³.
What is exponents and powers?When a number is multiplied by itself a finite number of times, the number being multiplied is called the base number, and the number of times it is being multiplied is called the exponent.
Suppose a number is being multiplied by itself n number of times, then this expression is called the nth power of the given number.
An exponent is the number of times a given number is being multiplied by itself and power is the value of the product of the base number raised to an exponent.
Given:
[tex]6^{-3}[/tex]
now, applying exponents
[tex]a^{-m} = 1/ a^{m}[/tex]
Then after applying the above law we have
[tex]6^{-3}[/tex] = (1/6)³
Hence, the equivalent expression of [tex]6^{-3}[/tex] is (1/6)³.
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Kiran ate breakfast in a café. His total check was $15.
a. What’s a 20% tip?
b. How much money did Kiran spend altogether for breakfast?
Answer:
A 20 percent tip is basically multiplying the price by 0.2
Percent means out of a hundred.
20/100 is 0.2
We have to find 0.2 of 15.
We can multiply 15 by 0.2 to find 20 percent of 15 and you would get 3.
20 percent of 15 is 3 dollars thats your answer to A
Now the total price would just be the percentage you found in A and add it to the total breakfast.
3 + 15 = 18
Kieran spend 18 dollars for brekfast.
There is 885 mL of milk in one jug and 550 mL in another. How much milk is there both the jugs?
Answer:
1,435 mL
Step-by-step explanation:
This is a simple addition problem if I'm not mistaken.
885+550=1435
PLEASE HELP MEEEEEE
Answer:
2=8, 3= 12, 4= 16, and just keep on going like that just add 4 to every number.
Step-by-step explanation:
Answer:
1 = 4
2 = 8
3 = 12
4 = 16
5 =20
6 = 24
7 = 28
8 = 32
9 = 36
10 = 40
11 = 44
12 = 48
Hope this helps! Please mark Brainliest!
Please choose 1 2 or 3 will mark Brainlist
it's,
HHH, TTT, HTT
Step-by-step explanation:
If 3 coins are tossed, then the possible sample space can be : HHH, HHT, HTH, THH, TTH, THT, HTT, TTT
where H=heads,T=tails
please help me with this question
Step-by-step explanation:
The river is 1000 m wide, and the boat moves at 3 m/s, so the time it takes to cross the river is:
t = (1000 m) / (3 m/s)
t = 333.3 s
The river flows at 2 m/s, so by the time he reaches the other bank, he drifts downstream a distance of:
d = (2 m/s) (333.3 s)
d = 666.7 m
Which is greater 25% of 15 or 15% if 25
Answer:
their equal
Step-by-step explanation:
25% of 15 is 3.75
15% of 25 is 3.75
12. Quo Vadis?
Two strangers who have a private recognition signal agree to meet on a
certain Thursday at 12 noon in New York City, a town familiar to neither,
to discuss an important business deal, but later they discover that they have
not chosen a meeting place, and neither can reach the other because both
have embarked on trips. If they try nevertheless to meet, where should they
go?
Answer:
The empire state building
Step-by-step explanation:
It is the largest building there.
A man is walking at the speed of 34km/hr.In 30 min he will walk :
a) 1/4km b)1/3km c1/2km d)1.5km
Answer:
All choices are incorrect
30 min= 1/2
34x1/2
17
Answer=17 km in 30 min
Answer:
See below.
Step-by-step explanation:
This problem and the answers don't work.
The way the problem is written, the answer is 17 km.
There is no such answer.
There is a mistake somewhere.
If the man is walking at the speed of 3/4 km/h, then in 30 minutes, which is half of 1 hour, he walk 3/8 km. There is no answer of 3/8 km in the choices.
Please check on the problem and post it correctly.
Find the measure of c°.
21°
159°
100.5°
60°
By the concepts of the transversal line we obtain the measure of angle c is 21°.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
From the given diagram angle opposite to the 159° must also be 159° and it is the measure of angle b.
We know, The sum of pair of angles in a straight line is 180°.
Therefore, m∠C = 180° - 159°.
m∠C = 21°.
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I need help I know how to put it in simplest form but I don't know how to do the rest of the problem .
Answer:
343
Step-by-step explanation:
Answer:
C. 343Step-by-step explanation:
Simplifying
((9 - 2)^2)^4/(4 + 3)^5 = 7^(2*4)/7^5 =7^8/7^5 =7^(8 - 5) =7^3 =343A bag of marbles contains 5 red marbles, 3green marbles and 6 yellow marbles. What is the probability of randomly choosing a marble that’s green? No links pls.
A right angle is divided into two angles, creating ∠1 and ∠2. ∠1 and ∠2 are _______.
Answer:
45
Step-by-step explanation:
A right angle is ALWAYS equal to 90 degrees. If it is divided equally to two angles then both will be 45 degrees.
90/2=45.
Answer:
Complementary(word) 45(number)
Step-by-step explanation:
If any two angles were to make up a 90° angle (aka right angle), they would be complementary because complementary angles add up to a 90° angle.
90/2 = 45°
Where 2 represents the two angles that make up 90°
And 90 meaning the total of the right angle.
The area of circle Q is 412. Circle P is 4 times bigger. What is the area of circle P? What is the perimeter of circle P?
A of circle P =
Perimeter of circle P =
Step-by-step explanation:
that is not clearly defined.
what does "bigger circle" mean ? bigger area or bigger radius or diameter ? or even bigger circumference ?
I assume we mean here that the area is 4 times bigger.
then the area of P is
A of P = 4×412 = 1648
the perimeter (= circumference) of a circle is
C = 2×pi×r
with r being the radius.
the area of a circle is
A = pi×r²
since we have the area of the circle, we have to calculate backwards to find r, so that we can calculate the circumference :
1648 = pi×r²
r² = 1648/pi
r = sqrt(1648/pi) = sqrt(16×103/pi) = 4×sqrt(103/pi) =
= 22.90359562...
the circumference of P
C = 2×pi×r = 143.9075355...
A recipe says to use 3.5 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x. Round your answer to the nearest tenth.
Answer: 0.07 cups/cookie
Step-by-step explanation:
The Constant of proportionality is the measure by which the number of cookies made, y increases to the number of cups of flour used, x.
If 3.5 cups of flour makes 48 cookies then how many cookies does 1 cup make;
= 3.5/48
= 0.07 cups/cookie
9) which is 16/6 as a decimal?
0.375
2.67
10
3
Answer:
2.67 is the answer
Step-by-step explanation:
use symbolab I use it all the time
Simplify this expression 4x^2y^3 x 2x^3y^4
Answer:
8 x^5 y^7
Step-by-step explanation:
Simplify the following:
4×2 x^2 y^3 x^3 y^4
Hint: | Combine products of like terms.
4 x^2 y^3×2 x^3 y^4 = 4 x^(2 + 3) y^(3 + 4)×2:
4×2 x^(2 + 3) y^(3 + 4)
Hint: | Evaluate 3 + 4.
3 + 4 = 7:
4×2 x^(2 + 3) y^7
Hint: | Evaluate 2 + 3.
2 + 3 = 5:
4×2 x^5 y^7
Hint: | Multiply 4 and 2 together.
4×2 = 8:
Answer: 8 x^5 y^7
A software company is selling a new game in a standard edition and a collector's edition the box of the standard edition has a volume of 20 cubic inches and the box for the collector's edition has a volume of 50 cubic inches 30 cubic inches the company received an order for 75 copies
Answer:
option A is correct
75 − s = c
20s + 30c = 1,870
Step-by-step explanation:
The question is not complete.
Here is a complete form
"A software company is selling a new game in a standard edition and a collector's edition the box of the standard edition has a volume of 20 cubic inches and the box for the collector's edition has a volume of 50 cubic inches 30 cubic inches the company received an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, s, and collector’s edition games, c, that were ordered?"
s+c=75
75 − s = c
20s + 30c = 1,870
the options are
A. 75 − s = c
20s + 30c = 1,870
B. 75 − s = c
30s + 20c = 1,870
C. s − c = 75
25(s + c) = 1,870
D. s − c = 75
30s + 20c = 1,870