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:
Find the area of the figure. Use 3.14 for it.
30 m
34 m
The area of the figure is about
m?
Answer:
963.73 m²
Step-by-step explanation:
To Find :-
Area of the figure
Solving :-
Area (figure) = Area (triangle) + Area (semicircle)
= 1/2bh + 1/2πr²
= 1/2 (30 x 34 + 3.14 x 17 x 17)
= 1/2 (1020 + 289 x 3.14)
= 1/2 (1020 + 907.46)
= 1/2 (1927.46)
= 963.73 m²
If a cup of coffee is 275 mL, what is the volume of 4 cups of coffee, in milliliters?
Answer:
1100 milliliters.
Step-by-step explanation:
First, separate the numbers 275, it will be 200, 70, and 5.
Second, multiply 4x200, it equals 800
Third, multiply 4x70, it equals 280
Fourth, multiply 4x5, it equals 20.
Fifth, add them all together one by one like 280+20=300, then add 280+800 which is 1100.
List the Slope of this Equation: Y=-7/2x+3
The slope is -7/2
Y = mx + b
m stands for the slope (numerical coefficient for x)
16x-24 in equivalent expression
i suck at these so like…
x g(x)
-2 1/36
-1 1/6
0 1
1 6
2 36
~
chloe wants to ride her bicycle 34.1 miles this week. She has already ridden 14 miles if she rides for 3 more days, write and solve an equation which can be used to determin m, the avergae number of miles she would have to ride each day to meet her goal.
Step-by-step explanation:
I guess the meaning is that after 3 more days the week will be over, and she has to reach her goal by then.
x = the average number of miles to ride each of the 3 days
x = (34.1 - 14)/3
the solution is
x = 20.1/3 = 6.7 miles
Help me solve this problem, will give brainliest
Answer:
c
Step-by-step explanation:
Select the correct answer. What is l-14l ? A. B. C. D. E.
Answer:
A
Step-by-step explanation:
Estimate. Include commas if the answer is made of more than three digits.
56 x 324.
Answer:
19,200
Step-by-step explanation:
round 56 to 60 and round 324 to 320 then multiply the two numbers
Natalie is shopping for new clothes and does not want to spend more than $65. She buys one dress for $26 and wants to buy a few shirts that cost $13 each. Which inequality can she use to determine the number of shirts she can buy, x?
Answer:
easy
Step-by-step explanation:
65=26=13x
you should be able to solve it from there, its legit just subtracting then dividing.
Which expression described a correct to find the missing number
Answer:
c
Step-by-step explanation:
it's 12x2 divided by 3
Answer:
c multiply by 2 divide by 3
Step-by-step explanation:
think of 12 as 12/1
multiply the numbers
it will be 24/3
divide
you get 8
Please guys I need this answer ASAP Two functions are shown below.
Function 1 y= -4/7x — 4
Which function is less steep and what is that slope?
A.
Function 1 and the slope is
-4/7
B.
Function 1 and the slope is
-4
C.
Function 2 and the slope is
-3/5
D.
Function 2 and the slope is
2
Function 1 and the slope is -4/7
=================================================
Explanation:
The slope of y = mx+b is m, which is the number to the left of x.
For function 1
y = (-4/7)x - 4
the slope here is m = -4/7 = -0.57 approximately
Let's use the slope formula to find the slope of function 2 given by the table of values.
Pick any two rows from that table. I'll pick the first two rows.
m = (y2-y1)/(x2 - x1)
m = (0.8 - 2)/(2 - 0)
m = -0.60
Comparing -0.57 and -0.60, we see that -0.57 is closer to zero on the number line. Meaning that function 1 has the less steep slope (i.e. more shallow slope). The further you go away from zero on the number line, in either direction, the slope will get steeper.
What is the percentage tax charged if a calculator which cost $4000 is sold for $5000 after tax ?
Answer:
25%
Step-by-step explanation:
find the differences between original price $4000 and the altered price $5000.
$5000 - $4000 = $1000
to find the tax percent charged, take the difference price, divide by the original price and multiply with 100, ( to find percentage, it is a must to multiply with 100 ).
1000/4000 x 100
= 25%
so you will get 25 %
to make 1 dinner roll, 1/15 cups of flour is used. How much flour is used to make 48 dinner rolls?
The incenter of a triangle is the intersection point of the_____ bisectors
A) angle
B) midpoint
OC) circumcenter
D) perpendicular
Answer:
angle
Step-by-step explanation:
A N G L E
A N S W E R
The value of B is __
The value of a
Answer:
The value of B is 11 times the value of a.
Step-by-step explanation:
a =| 2 | 4 | 7 | 10 |
b =| 22 | 44 | 77 | 110 |
22 44 77 110
÷2 ÷4 ÷7 ÷10
--------- -------- ------- ---------
11 11 11 11
I hope this helps!
Answer:
see explanation
Step-by-step explanation:
from the table we can see that
the value of b is 11 times the value of a
PLEASE HELP ME WITH THIS ONE !!!
Answer: A & C
Step-by-step explanation: 3 + 4 = 7 5 -3 = 2
The radius of a circle is 3 5/12 inches
What is the diameter of the circle?
Answer:
6 5/6
Step-by-step explanation:
diameter is radius multiplied by 2
* means multiplied by
3 5/12 = 41/12
41/12 * 2 = 82/12 = 6 5/6
Answer: 6 5/12
Step-by-step explanation: i just took the k12 test and this is the corret answer
Y = – (x – 5)2 + 3
y = –3(x – 6)2 + x + 1
To make sure the flip is in unison, after how many seconds should the flip occur?
The flip should tur after 2.4 scon
How to find the point of intersection of two linesGiven the following functions expressed as:
[tex]Y = - (x - 5)^2 + 3 \\y = -3(x - 6)^2 + x + 1[/tex]
Equating both expression will give
-(x-5)² + 3 = -3(x-6)² + x + 1
-(x-5)² +3(x-6)² + 3 - x - 1 = 0
-(x-5)² +3(x-6)² + 2 - x = 0
-(x² - 10x + 25) + 3(x²-12x + 36) + 2 - x = 0
x² + 10x - 25 + 3x² +36x + 108 + 2 - x = 0
4x² + 45x + 85 = 0
Factorize for the value of x
On factorizing, the value of x is 2.405
Hence the flip should tur after 2.4 sconds
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I know the first one, I just need help on b.
Answer:
its the one at about (8, 8000)
Step-by-step explanation:
If you look at all of the points, you can see the price constantly goes done as the car gets older. The only point away from the constant pattern is the one that is 8 years old, costing about 8000.
absolute value negative 4
Answer:
4
Step-by-step explanation:
absolute value, if it's a negative number, will be positive. if it's a positive number, it will stay positive.
Answer:
My guess 4
Step-by-step explanation:
i used to do this stuff but i thinks its 4
For what values of a are the following expressions true? a +5 = −5−a ,a +5 = a + 5
Answer:
Step-by-step explanation:
What is the width rounded to the nearest whole number? (width = 13.62 ft)
Answer:
14
Step-by-step explanation:
Our goal is to round it so we only have an integer part using the following rules:
If the first digit in the fractional part of 13.62 is less than 5 then we simply remove the fractional part to get the answer.
If the first digit in the fractional part of 13.62 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.
The first digit in the fractional part is 6 and 6 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get 13.62 rounded to the nearest whole number as:
14
Calculate the area of the shaded sector. PQ = 2.8 in
Answer:A= 21 cm2
= 3.25 in2
= 3 in2
Step-by-step explanation:
2.8 in = 7.112 cm
= 7 cm
A = [tex]\pi[/tex][tex]r^{2}[/tex] * [tex]\frac{49}{360}[/tex]
= 22/7*7*7*49/360
= 20.96
= 21 cm2
Which set of angles are complementary in this diagram?
Answer:
ECF and BCF (option 3)
Step-by-step explanation:
Complementary angles are angles that have degrees that add up to 90. From the picture, you can see that angle ECF and BCF put together form a right, or 90 degree angle, so that is your answer.
Hopefully this helps - let me know if you have any questions!
For the right triangles below, find the values of the side lengths c and h.
Round your answers to the nearest tenth.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=5800(0.806)^x
Using exponential function concepts, it is found that it represents a decay of 19.4%.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the function is:
[tex]A(x) = 5800(0.806)^x[/tex]
Since the rate of change is less than 1, it is a decay.
Then:
1 - r = 0.806.
r = 1 - 0.806 = 0.194.
The function represents a decay of 19.4%.
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What is the approximate length of arc qr? round to the nearest tenth of a centimeter. 9.9 centimeters 19.9 centimeters 21.5 centimeters 43.0 centimeters
The length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.
What will be the Arc?The arc of the circle is defined as the product of the angle and the radius of the circle.
[tex]Arc=\theta \times r[/tex]
Now it is given in the question that
circle P, i.e. center is point P.
QS is a diameter with a length of 20 cm so radius =10 cm
Given that RP is the radius with
To find the length of arc QR =?
Now for finding the arc of QR we will find the angle [tex]\angle QPR[/tex] since we have the angle [tex]\angle RPS=123^o[/tex].
[tex]\angle QPR+\angle RPS=180[/tex]
[tex]\angle QPR+123=180[/tex]
[tex]\angle QPR=57^o[/tex]
[tex]\angle QPR=\dfrac{57\times\pi}{180} =0.99\ radian[/tex]
Now the formula for finding the arc will be given by
[tex]Arc \ (QR)=\angle QPR\times r[/tex]
[tex]Arc\ (QR)=0.99\times 10=9.9\ cm[/tex]
Thus the length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.
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What is the domain of the function y = l n (StartFraction negative x 3 Over 2 EndFraction).
The domain of the provide function where the function is defined is x less than the number three.
What is the domain of the function?Domain of a function is the set of all the possible input values which are valid for that function.
The function given in the problem is,
[tex]y=\ln\left(\dfrac{-x+3}{1}\right)[/tex]
The above function is the function of logarithm. For the logarithmic function, it is defined for all the real numbers except 0.
Thus, the function should be greater than zero as,
[tex]\left(\dfrac{-x+3}{1}\right) > 0\\(-x+3) > 0\\-x > -3[/tex]
Change the sign of both side, by changing the inequality,
[tex]x < 3[/tex]
Thus, the domain of the provide function where the function is defined is x less than the number three.
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Answer:
x<3
Step-by-step explanation:
edge 2022
Part A
What is the approximate area of each cross section of the cone and pyramid?
Type the correct answer in each box. Use numerals instead of words.
Both areas of the circle (cross section for cone) and the square(cross section for pyramid) was found using the
Area of Circle = πr^2Area of Square = Length * WidthArea of Flat ShapesNo Images were provided in this question, however, the cross section of a cone and a pyramid will result to the shapes of a circle and a square respectively when we slice them horizontally
Hence the area of the cross section of the cone can be estimated using the expression for the area of a circle
Area of Circle = πr^2
Also, the area of the cross section of the pyramid can be estimated using the expression for the area of a square
Area of Square = Length * Width
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