Answer:
A) $2,344.53
B) $2,340.36
C) Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B
Step-by-step explanation:
We solve for A and B using Compound Interest formula
A). You plan to invest $1978 in an account with two different options. Option 1 earns 8.5% annually, with interest to be compounded continuously. How much money would you have in the account after 2 years?
First, convert R as a percent to r as a decimal
r = R/100
r = 8.5/100
r = 0.085 rate per year,
Then solve the equation for A
The formula is given as
A = Pe^rt
A = 1,978.00(2.71828)(0.085)(2)
A = $2,344.53
B). You plan to invest $1978 in an account with two different options. Option 2 earns 8.5% annually, with interest to be compounded quarterly. How much money would you have in the account after 2 years?
First, convert R as a percent to r as a decimal
r = R/100
r = 8.5/100
r = 0.085 rate per year,
Then solve the equation for A
The formula is given as
A = P(1 + r/n)^nt
P = Principal = $1978
r = 0.085
n = compounded quarterly = 4
A = 1,978.00(1 + 0.085/4)(4)(2)
A = 1,978.00(1 + 0.02125)(8)
A = $2,340.36
C). You plan to invest $1978 in an account with two different options. Based on your two previous answers, which option would you choose and why?
Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B
Mrs. Gurung spends 75% of her income every month which amounts to Rs 9000 and the rest she saves in a bank
Answer:
See the explanation below
Step-by-step explanation:
The question is asking what the income is and what the rest amount is
We are told that 75% of the income is Rs. 9000
Le the income be x
so
75/100*x=9000
0.75x=9000
x= 9000/0.75
x=12000
Hence the income is
Rs. 12000
The rest amount
=12000-9000
=Rs. 3000
Someone help me please
Answer:
x=4
Step-by-step explanation:
A student’s performance in Test 1 and Test 2 for all the 6 subjects has to be compared graphically for the current academic year. Which form of graph would be appropriate in this case? *
Bar Graph
Histogram
Double Bar Graph
Answer:
Double Bar Graph
Step-by-step explanation:
A double bar graph would be suitable to show the performance of test 1 and 2 in all 6 subjects
list at least 3 theorems and give an example for each.
Answer:
A result that has been proved to be true (using operations and facts that were already known). Example: The "Pythagoras Theorem" proved [tex] {a}^{2} + b {}^{2} = {c}^{2} [/tex] that for a right angled triangle.
FIVE THEOREMS OF GEOMETRY: a circle is bisected by its diameter. angles at the base of any isosceles triangle is equal. If two straight line intersect, the opposite angles formed are equal.If one triangle has two angle and one side is equal to another triangle. any angle inscribed in a semi-circle is a right angle.Step-by-step explanation:
Hope it is helpful...
find the measure of the angle indicated
Answer:
105
Step-by-step explanation:
x + 25 + 80 = 180
x + 105 = 180
x = 75
x + y = 180
75 + y = 180
y = 105
what is the greatest common factor of the polynomials: 35x^4+10x^3+25x^2
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
5x^2
Step-by-step explanation:
35x^4 + 10x^3 + 25x^2 =
Break up each term into a product of all its prime factors.
= 5 * 7 * x * x * x * x + 2 * 5 * x * x * x + 5 * 5 * x * x
Now see which factors are in common to all terms.
GCF = 5x^2
At the local store, the cost of 1 pair of jeans is $24 and the cost of 3 pairs is $24 × 3 = $72. At the online store, the cost of 2 pairs of jeans is ($22 × 2) + $6 = $50 and the cost of 3 pairs is ($22 × 3) + $6 = $72.
Complete question :
Complete the tables to relate the numbers of pairs of jeans to the cost of the jeans at each store. Assume that Tim is placing a single order, and
ignore any taxes.
Answer:
$24, $72
$50
Step-by-step explanation:
From the table :
At local store :
2 pair of jeans cost $48
Cost of a pair :
Cost of 2 pairs / number of pairs
$48 / 2 = $24
Cost of 3 pairs :
Cost per pair * number of pairs :
$24 * 3 = $72
At online store :
Cost of Jean include a fixed fee of $6
Cost of one pair of Jean = $28
Actual cost of Jean :
$28 - $6 = $22
Hence, cost of 2 pair of jeans:
($22*2) + $6
$44 + $6 = $50
Mary drove 715 miles in 13 hours, At the same rate, how many miles would she drive in 9 hours?
Answer:
495 miles
Step-by-step explanation:
ME HAS CONFUSION PWEASE HELP
Answer:
The answer is 261
Step-by-step explanation:
Answer:
sorry if i am wrong but i think it is 35
Step-by-step explanation:
i think you have to add the 37 and 39 to get 76 and subtract 111 to get 35
A $60 sweater is on sale for 25% off. There is an additional 10% discount offered if you sign up for a credit card. What is the sale price of the sweater if you sign up for a credit card?
Answer:$39
Step-by-step explanation:
Answer: $39.00 I'm pretty sure
Write an exponential decay model for each situation. The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.
initial value: 1,800
decay rate: 7%
f(x) = 400
Answer:
The numbers are;
20 and 21
Step-by-step explanation:
A general form of an exponential decay model can be presented as follows;
f(x) = a·(1 + r)ˣ
Where;
f(x) = The output for a given input variable, 'x'
x = The input variable
a = The initial value
r = The growth (+ve) or decay (-ve) rate
When f(x) = 400, a = 1,800, r = -7% = -0.07, we get;
400 = 1,800 × (1 - 0.07)ˣ
(1 - 0.07)ˣ = 400/1,800 = 2/9
ln((1 - 0.07)ˣ) = ln(2/9)
x = ln(2/9)/(ln(1 - 0.07)) ≈ 20.73
The value of 'x' lies between 20 and 21.
calculate the mean of 7,0,11,10
Answer:
7
Step-by-step explanation:
7+0+11+10=28
28/4=7
Lyla is planning on riding his bike no more than 65 miles during the week. She has already ridden 17 miles. Write and solve an inequality to find how many more miles she can ride. Then interpret the solution.
Answer:
17 + m ≤ 65
Step-by-step explanation:
Maximum distance = 65 miles
Number of miles already ridden = 17
Expression to represent how many more miles, 'm' she can ride ;
Number of miles already ridden + m ≤ maximum distance
17 + m ≤ 65
m ≤ 65 - 17
m ≤ 48
The amount of additional miles Lyla can ride is at most 48 miles
What is the lateral and surface area? No link or you will be reported
mary ann and carlos are each saving for new scooters. Their savings are shown. Let x represent the number of hours each person works y represent the total earnings in dollars
A: What is the difference in their savings after working 3 hours
1. Mary Ann has saved $2 more than Carlos
2. Carlos has saved $8 more than Mary Ann
3. Carlos has saved $2 more than Mary Ann
4. Mary Ann has saved $6 more than Carlos
Answer: 1. Mary Ann has saved $2 more than Carlos
Step-by-step explanation:
He has $26 after 3 hours
she has...
y=6(3)+10
y=18+10
y=28
so
28-26=2
Need a little help :,)
Answer:
A a. 25 minutes
Step-by-step explanation:
Let x = time in minutes.
Aquarium I contains y water at time x.
y = 4.6 + 1.2x
Aquarium II contains y water at time x,
y = 54.6 - 0.8x
We want the amounts of water to be equal, so we set the right parts of the equations equal and solve for x, the time in minutes.
4.6 + 1.2x = 54.6 - 0.8x
Subtract 4.6 from both sides.
Add 0.8x to both sides.
2x = 50
Divide both sides by 2.
x = 25
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new
price for a total of $5.88.
Write an equation to determine the original price per pound (p).
Find the original price per pound.
$
Answer:
The equation is;
3(x + 0.75) = 5.88
The original price is $1.21
Step-by-step explanation:
Let the original price per pound be $x
By going up, the new price will be;
(x + 0.75)
3 times this is the new price;
3(x + 0.75) = 5.88
3x + 2.25 = 5.88
3x = 3.63
x = 3.63/3
x = $1.21
BRAINLISRST AND EXTRA POINTS I NEEDS I HELP
Sally deposits $150 into a bank
Account in 2020 that earns 3.5%
annual interest. What exponential
function represents the situation?
Answer:150/3.5
Step-by-step explanation:
Polynomial Multiplication: Please HELP ITS FOR MATH!!!!
Answer:
Step-by-step explanation:
1. Monomial times Monomial
2. Binomial times Binomial
3. Binomial times Trinomial
4. Monomial times Trinomial
5. Binomial times Monomial
Answer: (The first number will be for the side on the left and the second will be for the on the right it matches with) (1, 3) (2, 1) (3, 5) (4,2) (5, 4)
Step-by-step explanation:
The nomial number(prefix) is determined by how many terms are in a parentheses. For example, The first one (3z) (9z) has one term bc 3z is one tern and 9z is one term so they are both monomials but b-1 would be a binomial because it has two terms so knowing that should explain my answers
Naomi is reading a book that has 420 pages she reads 35 pages each day how many days will naomi need to finish this book
Answer:
12 days
Step-by-step explanation:
420/35 to find amount of days to finish book
420/35 = 12
It costs $17.50 for 5 gallons of gas. Write and solve a proportion to answer the question: How much gas could you buy with $49.00?
Solve and explain for BRAINLIST
17.50/5 = 3.50= 1 gallon
so you divide 49 by 3.5 and you get 14 and 14= 14 gallons
Step-by-step explanation:
what is the slope of the line?
Answer:
slope=7/4
Step-by-step explanation:
you can find the slope of the line from a graph using the formula rise/run, where rise is the change in y and run is the change in x
let's start with a clear point; for example, (-1,-3)
we need to go up, down, left, or right to get the rise/run
up/down is considered the rise
left/right is considered the run
if we go up or to the right, that's considered a positive move
if we go down or to the left, that's considered a negative move
we'll go from (-1,-3) to another clear point, like (3,4) for example
starting at (-1,-3):
go up 7, to the point (-1,4)
then move 4 to the right to get to the point (3,4)
we went up 7, so our rise is 7
we moved to the right 4, so that is our run
our slope then is 7/4
please see below for a graph if that would be helpful:
Solve the system of linear equations using either substitution or the elimination method.
y = 3x +5
X+y=1
Answer:
x = -1
y = 2
Step-by-step explanation:
x + y = 1
y = -x + 1
y = -x + 1 (Multiply this by -1)
y = 3x +5
-y = x - 1
y = 3x +5
0 = 4x + 4
4x = -4
x = -1
x + y = 1
-1 + y = 1
y = 2
Theo is an atletic trainer who works with high school football and baseball players of his clients 40% play football and the rest play baseball. Of the students who play football 30% are on the varsity team while 50% of theo's baseball clients are on the varsity team. What percent of theo's clients are on the varsity team
Answer:
42%
Step-by-step explanation:
For the Theo's clients, 40% play football. That means the 60% is playing baseball.
Of the 40% that play football, only the 30% are on the varsity team, that is:
40% * 30% = 12% of the Theo's clients are on the Varsity team of football
And of the 60% that play baseball, the 50% are in the varsity team, that is:
60% * 50% = 30% of the Theo's clients are on the varsity team of baseball.
The percent of theo's clients on the varsity team is:
12% + 30% =
42%
A population of 1500 bacteria is growing at a rate of 10% each day. What is the domain of the population of growing bacteria?
Answer:
The answer is: the domain of the function that show the population-growing per day is
\mleft{
[tex]x \geqslant 0[/tex]
\mright}
Because the domain is the time, in this cases the days.
In a company's first year in operation, it made an annual profit of \$333,500$333,500. The profit of the company increased at a constant 8% per year each year. How much profit would the company make over the course of its first 24 years of operation, ?
P × R × T ÷ 100
333,500 × 8% ×24 ÷ 100
64,032,000÷100
640,320
The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.
Calculation of the amount of profit:Since annual profit is $333,500
The profit percentage should be likely 8%
And, the number of years should be 24
So, the amount of profit should be
[tex]= $333,500 * (1 + 0.08)^{24[/tex]
= $2,114,784
hence, The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.
Learn more about profits here: https://brainly.com/question/10176219
pls help 10 points !! :))
Answer:
The second one
Step-by-step explanation:
I NEED AN ANSWER FOR THE TWO QUESTIONS! I HAVE 3 MINUTES TO FINISH!!! HELP!!!!!!
Answer:
First one is first option
Second one is the third option
Step-by-step explanation:
PLZ ANSWER FOR TEST
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
A. 113.5°
B. 47.5°
C. 46.5°
D. 180°
Answer:
C
Step-by-step explanation:
19.9 + 113.6 = 133.5
180-133.5= 46.5
Answer:
[C] 46.5°
Step-by-step explanation:
Given:
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
Note that:
Triangle = 180 degree
Solution:
Since,
x = 19.9 degree
y = 113.6 degree
then we have:
19.9 + 133.6 + z = 180
133.5 + z = 180
Subtract both sides by 133.5
133.5 - 133.5 = 180 - 133.5
x = 46.5 degree
Hence, the measure of angle z is 46.5
Also means that [C] 46.5 is the correct answer.
Kavinsky
2(x - 1) 3(x - 2)
3
4
1
I did not understand
Answer:
3(x-2)
4(x-5)
5(x-6)
1(x-2)