The value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70
What is interest?Interest is the money you pay on top of the amount you borrow which compensates lenders for making their money available as well as the risk they take.
For the borrower, it is like a rental cost, while for the lender it is an income for lending – for risking their money and doing without it for a given period.
Given that, Emma and Paul invested $2,000 into accounts that earn 6% interest.
Emma invested in Simple interest and Paul invested in compound interest,
We need to find the amount of both after 8 years.
Formula to be used =
Simple interest = PRT / 100 [p = principal, r = rate and t = time]
Compound interest =
A = P(1+r)ⁿ [a = amount, p = principal, rate = rate, n = time]
So,
Emma's account after 8 years =
2000 × 6 × 8 / 100 + 2000 = $2960
Paul's account after 8 years =
A = 2000(1+0.06)⁸
A = $3187.7
Hence, the value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70
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What is the equation of the line that is the perpendicular bisector of the segment
with (10,-15) and (-10, 25) as endpoints?
y= kx + 10
y= kx + 5
y= -x + 10
y = 2x + 5
Answer:
y= kx + 5Step-by-step explanation:
Perpendicular bisector passes through the midpoint of the line.
The midpoint is:
x = (10 - 10)/2 = 0y = (-15 + 25)/2 = 5Slope of the line:
m = (25 - (-15))/(-10 - 10) = -2The line perpendicular to this has to have a slope of 1/2 as perpendicular lines have opposite-reciprocal slopes.
Use point-slope form and point (0, 5) to find the equation of the line:
y - 5 = 1/2(x - 0)y = 1/2x + 5Correct option seem B as others don't match ours
Write rational numbers between 0 and 1
-----------------------------------------------------------------------------------------
please also say how did you solve it
this question has 10 points
I will mark you as Brillant if you answer it
Step-by-step explanation:
0/1 , 1/1
Multiply there denominators with any number...
0/1×60=0/60
1/1××60=60/60
Now,
You have many choices...
1/60,10/60,30/60,2/60,5/60........so on....
Find the measure of <4.
{{
24
158°
KE
* 4 = [?]
<4=22°
Answer:
<4+158=180 co interior angle
<4=180-158=22°
Answer:
solution given:
<4+<158°=180°[co- interior angle]
<4=180°-<158°=22°
<4=22° is your answer
For an F distribution, find the following:
(a) f 0.25,825
(b) f 0.10,12,15
(c) f 0.01,12,6
Answer:
1.39 ; 2.02 ; 2.90
Step-by-step explanation:
From the F - distribution calculator
F0.25, 8, 2 ;
u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75
F value = 1.39
F0.10,12,15 :
u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90
F value = 2.02
F0.01,12,6
u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90
F value = 2.90
13. Ochieng had sh. 250 as pocket money at the beginning of the term. In the middle of the
term, he was left with 2/5 of this amount. How much did he spend?
Answer:
sh.150.00
Step-by-step explanation:
2÷5×250
=100
250-100
=150
Help asap! First response= Brainliest!!
Answer:
3/3
Step-by-step explanation:
here ya go
Diego needs rug with an area of 540sq feet what are all the ways to get 540 square feet
Answer:
260*2
540*1
180*3
135*4
108*5
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
Second one
Step-by-step explanation:
Answer:
C. A 90° clockwise rotation about the origin
Complete the expression so that it forms a perfect square trinomial--don't forget the sign for an operation. Then write the expression for the perfect square binomial using ^ to make an exponent. x^2+5 perfect square binomial
The perfect square trinomial is x^2 + 45/4.
To complete the expression as a perfect square trinomial, we need to add a term to the given expression, x^2 + 5, in such a way that it becomes a perfect square.
A perfect square trinomial can be written in the form (a + b)^2, where a and b are real numbers.
In this case, we can observe that the coefficient of x^2 is already 1, so the value of a will be 1.
To find the value of b, we take half of the coefficient of x, which is (5/2), and square it: (5/2)^2 = 25/4.
Now, we can add this term to the given expression:
x^2 + 5 + 25/4
Combining the terms, we get:
x^2 + 25/4 + 20/4
Simplifying further:
x^2 + 45/4
For the perfect square binomial, we can write the expression using the exponent notation as follows:
(x + (sqrt(45/4)))^2
Note that sqrt denotes the square root.
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Cell phone Plan A costs$70 per month and comes with a free$500 phone. Cell phone Plan Bcosts$50 per month but does not come with a phone. If you buy the$500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's?
Please answer WITHEXPLANATION!
Answer:
25
Step-by-step explanation:
A = 70*M
B = 500 + 50*M
Costing the same means equal, so we have the equation:
70M = 500 + 50M
-50M -50M
20M = 500
20M / 20 = 500 / 20
m- 25 months
Chris borrowed $2,000 from the bank. The interest rate was 3.5% for 5 years. How much does he owe the bank?
which of the following describes the data set? 6,7,11,14,20,30,35
Answer:
D
The numbers are already in order so you don't need to do anything
Answer:
its b for me but d for yall
Step-by-step explanation:
all you do is count up hope this helps can u mark me brainlest
What is the radius and diameter of the following circle?
16 cm
Answer:
radius is 16
diameter is 32
Step-by-step explanation:
Your radius is the line starting from the point in the middle to any part of the edge of the circle. A diameter is when there is a long straight line from both ends reaching the edges of the circle crossing the point.
A diameter is just the radius doubled but except it all has to be straight coming reaching both edges.
A radius is half of a diameter.
Answer:
radius = 16 cm
diameter = 32 cm
Step-by-step explanation:
radius = a straight line from the center of the circle to any point on the circle's circumference
We are given the radius (16 cm)
The diameter is equal to twice the length of the radius
So diameter = 16 * 2
16*2=32 so the length of the diameter is 32 cm
How to do subtract 1.7 from 3 show your work
Multiply (2-5i)(2+5i)
Answer:
29
Step-by-step explanation:
4 - 25i^2
4 - 25x(-1)
4 + 25 = 29
the ^2 means exponent 2
Solving two-step equations:
106 = 1 + 7n
Answer:
n = 15
Step-by-step explanation:
106 = 1 + 7n
1- 1-
-------------------
105 = 7n
÷7 ÷7
------------------
15 = n
your goal is to get the variable by itself
2.8332 rounded to the nearest thousand
7x+1=3x+9 basic equations
Answer:
= 2
Step-by-step explanation:
Answer:27
Step-by-step explanation:
choose the equation that describes the relationship in the following table. please answer ASAP ty
Answer:
C) y = -5x + 32
Step-by-step explanation:
Only choice where the all the x values equal the y values
A factory produces bags of rubber bands. A bag of rubber bands has five different sizes: extra large (XL), large (L), medium (M), small (S), and extra small (XS). A quality control specialist collects a random sample of 450 rubber bands from the bagging machine and calculates a chi-square goodness-of-fit test to see if the frequencies for each size in the sample match the hypothesized distribution. The quality control specialist will test his sample against the following null hypothesis.H0:pXL=0.10,pL=0.20,pM=0.40,pS=0.20,pXS=0.10 How many medium rubber bands are expected in the random sample of 450 rubber bands?
Answer:
The expected frequency is 90
Step-by-step explanation:
If the given probabilities are taken as observed
pXL=0.10, 450*0.1= 45
pL=0.20, 450*0.2= 90
pM=0.40, 450*0.4= 180
pS=0.20, 450*0.2= 90
pXS=0.10 450*0.1= 45
We can assign the expected frequencies to be 450/5= 90 each
The chi square goodness fit test can be calculated as
Observed Expected (o-e) (o-e)² (o-e)² /e
45 90 -45 2025 22.5
90 90 0 0 0
180 90 90 8100 90
90 90 0 0 0
45 90 -45 2025 22.5
∑ 135
χ²= 135
The χ² value at 0.05 is 9.49
The result is significant.
Answer:
180
Just took the test
PLEASE HELP!
Find the area and circumference of the following. Leave in terms of pi. * 2 poir
16
Area = 100pi and Circumference = 50 pi
Area = 256pi and Circumference = 32 pi
Area = 100 pi and Circumference = 55 pi
Answer:
B. Area = 256pi & Circumference = 32pi
Step-by-step explanation:
Area = pi r^2
A = pi (16)^2
A = 256pi
Circumference = 2pi r
C = 2(pi)(16)
C = 32pi
Please help me with all three. 100 brainly points
WILL MARK BRAINLIEST!
The solution to the given functions are:
a) f(x) is an even function because f(−x) = f(x)
b) f(x) is an odd function because f(-x) = -f(x)
c) f(x) is neither even nor odd because f(-x) ≠ f(x) nor f(-x) ≠ -f(x)
How to find the even or odd function?A function f is said to be an even function if f(−x) = f(x), for all x in the domain of f. A function f is said to be an odd function if f(−x) = −f(x), for all x in the domain of f.
a) The function is given as:
f(x) = 2x⁴ - x² - 4
f(-x) = 2(-x)⁴ - (-x)² - 4
= 2x⁴ - x² - 4
Thus, it is an even function because f(−x) = f(x)
b) The function is given as:
f(x) = 2x³ + ¹/₋ₓ
f(-x) = 2(-x)³ + ¹/₍₋ₓ₎
= -2x - ¹/ₓ
Thus, it is an odd function because f(-x) = -f(x)
c) The function is given as:
f(x) = 2x² - 7x + 10
f(-x) = 2(-x)² - 7(-x) + 10
f(-x) = 2x² + 7x + 10
Thus, it is neither even nor odd because f(-x) ≠ f(x) nor f(-x) ≠ -f(x)
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Three vans can carry
18 adults. How many
adults are in 7 vans?
Answer:
42
Step-by-step explanation:
18/3= 6
6x7= 42
Answer:
42 with u need me to explain just say it in the comments :) hope this help
Step-by-step explanation:
I would appreciate if someone could help me with this problem and answer it I will give you a brainlist :)
Find the common ratio of the geometric sequence –4, 12, -36,...
Answer: -3
Step-by-step explanation:
The common ratio of the geometric sequence –4, 12, -36,... is -3.
12/(-4) =-3
-36/(12) = -3
They both multiply -3 for the next number.
Tell whether b=6 is a solution of 8b=48
Answer:
b= 6 for sure
Step-by-step explanation:
Unit 10 circles homework 2 back side
what is 1000x45 how do i get the anwser
Answer:
45000
Step-by-step explanation:
put the equation like this
1000
x 45
And multiple form right to left or just take 45 and add 3 0's because anything multiplied by 1 is what number u multiplied it by
Answer:45000
Step-by-step explanation:
so you know that 10x45=450 just add 2 more zeros and thats ur answer may i be marked brainliest
Write the equation of the line (in point-slope form) that passes through the point (3, -4) and has a slope of 6.
Answer:
y+4=6(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=6(x-3)
y+4=6(x-3)
Question 9 of 10
Thurston deposited $8400 into a savings account that earns 2.5% simple
interest each year calculated annually. What is the future value of Thurston's
account after 14 years?
A. $2940
B. $19,740
C. $11,340
D. $8610
SUBMIT
Answer:$11,340
Step-by-step explanation:
If Thurston deposited $8400 into a savings account that earns 2.5% simple
interest each year calculated annually. What is the future value of Thurston's account after 14 years will be is C. $11,340
Using this formula
Future value=Principal+[(Principal ×Rate ×Time)÷100]
Where:
Principal=$8,400
Rate=2.5%
Time=14 years
Let plug in the formula
Future valve=$8,400+[($8,400×2.5%×14)÷100]
Future valve=$8,400+($294,000÷100)
Future valve=$8,400+$2,940
Future valve=$11,340
Inconclusion if Thurston deposited $8400 into a savings account that earns 2.5% simple interest each year calculated annually. What is the future value of Thurston's account after 14 years will be is C. $11,340
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