Using the compound interest formula, it is found that the correct option is:
b. Porsha's expression should have 1 + 0.009375 in the parentheses.
Compound interest:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
Investment of $5,000, thus [tex]P = 5000[/tex].Interest rate of 3.75%, thus [tex]r = 0.0375[/tex].6 years, thus [tex]t = 6[/tex]Compounded quarterly, thus [tex]n = 4[/tex].Then, the amount is:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 5000(1 + \frac{0.0375}{4})^{4(6)}[/tex]
[tex]A(t) = 5000(1 + 0.009375)^{24}[/tex]
Thus, her error is in the parentheses, and the correct option is:
b. Porsha's expression should have 1 + 0.009375 in the parentheses.
A similar problem is given at https://brainly.com/question/25195489
HELP THIS IS DUE TOMORROW
Answer:
f it not possible to prove the triangle are conqrugent.
Answer:
D
Step-by-step explanation:
AAS
∠A = ∠D Given
∠B = ∠C Given
BC = CB Reflexive property
ΔABC ≅ ΔDCB AAS Congruent
Which table represents a linear function?
o
Х
1
2
3
4
у
5
9
5
9
O
o
х
1
2
3
4
y
-5
10
-15
20
0
х
1
2
3
4
y
5
10
20
40
X
1
2.
y
-5
0
Answer:
huhhh do you got a photo or sth
Linear functions are used to represent tables that have constant rate of change.
Table 4 represents a linear function
From the given tables, only table 4 represent a linear function.
This is so because as the values of x changes by 1, the corresponding values of y changes by 5.
The table is represented as:
x y
1 -5
2 0
3 5
4 10
Hence, table 4 represents a linear function
Read more about linear functions at:
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let's find what percent of the total number of quantities is the given number or quantities?
a. Rs 750 Rs 150?
b. 2 km is 600m?
c. 1840 people are 1380 male?
please help me to solve problems
Answer:
a. 20
b. 30
c. 75
b. 600 / 2000 * 100% (Change it to same unit)
3 / 10 * 100%
30%
You can slove every question by this method.
and dont forget to give me the brainest.
Simplify the expression:
5h + 5h - 3 + 7
Answer: 10h+ 4
Step-by-
An airline estimates that 97% of people booked on their flights actually show up. If the airline books 70 people on a flight for which the maximum number is 68, what is the probability that the number of people who show up will exceed the capacity of the plane? O 0.119 O 0.649 O 0.375 O 0.257
Answer:
0.649
Step-by-step explanation:
The probability that the number of people who show up to the plane exceed the capacity of the plane is 0.257.
What is Binomial Probability distribution?Binomial distribution in probability is the discrete distribution that results in only two possible values in an experiment. The two possible values are either success/ true/ one which is denoted by probability 'p' or failure/ false/ zero which is denoted by q = 1 - p.
Binomial distribution formula can be written as,
P(x) = ⁿCₓ pˣ qⁿ⁻ˣ
where, n is number of experiments and x = 0, 1, 2, ...
Here, it is given that capacity of plane is 68
Number of people actually booked for flight is 70 ⇒ n = 70
Probability that people booked on their flight actually show up = 0.97
So, p = 0.97
⇒ q = 1 - p = 1 - 0.97 = 0.03
Let P be the probability that the number of people showing up exceed the capacity of the plane.
P = P (x = 69) + P (x = 70)
P = [⁷⁰C₆₉ (0.97)⁶⁹ (0.03)⁷⁰⁻⁶⁹] + [⁷⁰C₇₀ (0.97)⁷⁰ (0.03)⁷⁰⁻⁷⁰]
P = [ 70 × 0.122 × 0.03] + [1 × 0.119 × 0.03]
P = 0.2562 + 0.00357
P = 0.2598 ≈ 0.257
Hence, probability that the number of people who show up will exceed the capacity of the plane is 0.257.
To learn more on binomial probability distribution, click:
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Mateo jogs for 3 3/4 miles on Saturday and 4 2/5 miles on Sunday. What is the total distance, in miles, that Mateo jogged in the past 2 days?
Answer:
Mateo jogged 8 3/20 miles in the past 2 days.
Step-by-step explanation:
Given:-
Distance on Saturday = 3 3/4
Distance on Sunday = 4 2/5
Total distance = 3 3/4 + 4 2/5
= 15/4 + 22/5
= LCM of deniminators (20)
= 75/20 + 88/20
= (75 + 88)/20
= 163/20
= 8 3/20
Answer:8+ (3/20)
Step-by-step explanation: We will assume that "today" is a Monday.
3+(3/4) + 4+(2/5)
7 + (3/4) + (2/5)
7 + (3/4)*(5/5) + (2/5)*(4/4)
7 + (15/20) + (8/20)
7 + (23/20)
8+ (3/20)
Fill in the missing number. 40% of = 800
Answer:
40% of 800 is 320
Step-by-step explanation:
0.40×800=320
Simplify this expression s square root 5 (13+ square root 2)
Answer:
65 + 5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
5(13 + [tex]\sqrt{2}[/tex]) ← multiply each term in the parenthesis by 5
= 65 + 5[tex]\sqrt{2}[/tex]
Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria? (graph in photo)
no, the frequencies do not increase from the low frequency to a maximum frequency.
no, the distribution is not symmetric.
yes, all the requirements are met.
Answer: I think its C, yes, all the requirements are met.
Step-by-step explanation: I might be wrong, so check to make sure
Yes, all the requirements are met.
The correct option is (C)
What is normal distribution?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
A graph or table that displays the frequency of various outcomes is called a frequency distribution.
The bell-shaped normal distribution is the norm.
As, the frequency value is lower for scores 5.5000 to 5.5499,
and then it increases 5.5500- 5.7499, then decreases for scores 5.7500-5.7999.
So, the frequency distribution curve looks bell-shaped when plotted.
hence, it follow a normal distribution.
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Please help me
This is a 45-45-90 triangle.
What is the measure of x?
X
х
X
= V[?]
Answer:
x = [tex]\sqrt{3}[/tex]
Step-by-step explanation:
the ratio of side to hypotenuse in a right triangle is 1 : [tex]\sqrt{2}[/tex]
in this problem we can use 'x' in place of 1 and [tex]\sqrt{6}[/tex] in place of [tex]\sqrt{2}[/tex] to create a proportion like this:
1/x = [tex]\sqrt{2}[/tex]/[tex]\sqrt{6}[/tex]
cross-multiply to get:
[tex]\sqrt{2}[/tex]·x = [tex]\sqrt{6}[/tex]
x = [tex]\frac{\sqrt{6}}{\sqrt{2}}[/tex]
x = [tex]\sqrt{3}[/tex]
how to solve the attachment question?
Answer:
y = 100 - 0.08^ x
Step-by-step explanation:
The distance across a two lane road
In the United States, the Interstate Highway standards for the Interstate Highway System use a 12 ft (3.7 m) standard lane width, while narrower lanes are used on lower classification roads. In Europe, laws and road widths vary by country; the minimum widths of lanes are generally between 2.5 to 3.25 m (98 to 128 in).
. Ramu took a loan of 50000 rupees from a bank which charges 10% interest, compounded an- nually. He repaid 10000 rupees after one year and 15000 rupees after two years. How much should he pay at the end of three years to settle the loan?
Answer:
= 30,550 rupee owed
Step-by-step explanation:
yr1 = 50000 x 0.10^1 = 5000
5000 - 10000 = 5000 credit from debt.
yr 2 = 50000 x 1.10^2 = 500 debit from debt = 5000-15000= 10,000 credit from debt
yr 3 = 50000 x 1.10^3 = 50 debit from debt
5000 + 500 = 15000 where 50,000 owed initially and yr1 and yr 2 paid in full interest of 5500 and we deduct this from his payment = 25000-5500 =
19500 paid of initial and nothing owed on interest.
50000-19500= 30,500 rupees owed + 50 rupee interest.
= 30,550 rupee owed
The amount he should pay at the end of the three years to settle the loan is; 41,550 Rupees
Compound InterestWe are given;
Investment = 50000 rupees
Annual Interest Rate = 10% = 0.1
Since the interest is compounded annually, then number of times of compounding = 3
Thus;
Amount to pay after 3 years is;
A = 50000(1 + 0.1)³
A = 50000 × 1.1³
A = 66500 Rupees
Now, we are told that he has already paid 10000 rupees after one year and 15000 rupees after two years. Thus, amount he now owes to settle the loan = 66500 - (10000 + 15000) = 41,550 Rupees
Read more on Compound Interest at; https://brainly.com/question/2455673
Determine whether the function shown in the graph is even or odd.
The graph starts at the bottom left, continues up through the x-axis near negative one point seven five to a maximum around y equals two, goes back down through the x-axis at the origin to a minimum around y equals negative two, and goes back up through the x-axis near one point seven five.
A) The function is even because it is symmetric with respect to the y-axis
B) The function is odd because it is symmetric with respect to the y-axis.
C) The function is even because it is symmetric with respect to the origin.
D) The function is odd because it is symmetric with respect to the origin.
Answer:
the answer is d
Step-by-step explanation:
i got it right
Help me please this is due tomorrow
Answer:
4.79
Step-by-step explanation:
How to get the mean:
Step 1: Add all numbers together
This was 19.16
Step 2: Divide the total by the amount of things being added (4 because 4 days)
This was 4.79
Hope this helps
pls pls pls help please please
Answer:
pretty sure it's 65
Step-by-step explanation:
They're usually congruent for these type of angles. Also, y would be 50
Answer:
x = 50°
Step-by-step explanation:
y = 65° because the base angles of an isosceles triangle are equal
x = 50° because angles in a triangle add up 180°
65 + 65 = 130180 - 130 = 50°what is the slope of the line 180x-30y+10=0?
Answer:
-6
Step-by-step explanation:
ax+by=c slope is -a/b ∴ the slope is -180/30 or -6
20x+75=35x+30 help
Is due tomorrow
Answer:
[tex]x[/tex] = [tex]3[/tex]
Step-by-step explanation:
Use an Algebra Calculator
answer is x=3 , formula is in the attachment
I need the answer and why
Answer:
66
Step-by-step explanation:
A jewelry supply shop buys silver chains from a manufacturer for c dollars each, and then sells the chains at a 57-percent markup. Write the markup as a decimal, A expression for the retail price silver chain, a retail price of a silver chain purchased for 45 dollars, and how much was added to the original price of the chain
( if you answer all the questions i will mark you the Brainy-est. )
The amount added to the original price of the jewelery is the Markup price. Hence, the amount added is $16.34
Markup = 57% = 0.57Cost of jewellery = cRetail price = $45Retail price = cost of jewellery + Markup
$45 = c + 0.57c
45 = 1.57c
Divide both sides by 1.57
c = 45/1.57
c = $28.66
The Markup price = (Retail price - Original price)
Markup = $45 - $28.66 = $16.34Therefore, the amount added to the original price is $16.34
Learn more : https://brainly.com/question/18796573
How many gallons of pure water should be added to 10 gallons of a solution containing 15% juice so that
the remaining solution contains 5% juice?
Fill in the table:
What is the amount of juice in the original solution? a =
What is the original amount of solution in gallons? b =
How much juice is added? c =
How much total solution is added? d =
Original
Added
New
Amount of juico
a
Total solution
Answer:
A = 1.5, B = 10, C = 0, D = 20
Step-by-step explanation:
A = 10 * 15% = 1.5
b = 10
c = 0
(10 + x) * 5% = 1.5
0.5 + 0.05x = 1.5
0.05x = 1
x = 20
(assume 'x' is added solution)
d = 20
Answer: A. 1.5 B. 10 C. 0 D. X
Can someone pls help em brainliest
Answer:
9
Step-by-step explanation:
I've attached a picture, and I hope it's clear and understandable.
Answer: k=9
Step-by-step explanation:
Parallel lines have the same slope. y=mx+b, where m is the slope. The reference line, y = 6x-5 has a slope of 6. The new line must therefore also have a slope of 6. The slope is the Rise/Run, the change in y for a change in x.
The two points on the new line are (10,2k) and (13,4k). Rise over run for this new line is (4k-2k)/(13-10) or 2k/3. This must be equal to 6,
2k/3 = 6
2k = 18
k = 9
In Circle O, AB = 12 centimeters and mAOB = 60°. Find the exact length of arc AB
Answer:
24cm (piste 20characteristic pa bago masabi sagot)
What is the equation of the horizontal line through (-7,-3)(−7,−3)?
Answer:
y = -3
Step-by-step explanation:
This is because horizontal lines have a slope of 0. And for horizontal lines, the equation of the line is y = b. So, b is the y-intercept and the y intercept is -3 so that is the equation of the line.
16x2 – 8x = ?
Choose 1 answer:
8(2x - 1)
B
8x(2x – 1)
8x (2x2 – 2)
8(2x2 – 2)
Answer:
8(2x-1)
Step-by-step explanation:
Find the simple interest.
Principal
$160
Rate
5.5%
Time
4 years
The simple interest is
(Simplify your answer.)
Answer:
$35.20
Step-by-step explanation:
S.I. = (P×R×T)/100
=(160×5.5×4) /100
= (640×55) / 100×10
= (64×55) / 100
= 3520 / 100
= $ 35.20
brainliest plz
The cost of making a cake is $5. the Baker wants to make a profit of $10 per cake and the cake is to be cut into 30 pieces, what is the selling price of each piece?
Answer:.
Step-by-step explanation:
Yolanda would like to attend a 12-month program that will certify her as a court reporter. The program costs $8,500 in tuition, fees, and books and will allow her to make
about $31,250 a year when she becomes certified. She will not have time to work during the year of training. Assuming she could make $18,000 a year without the
training, how many years will it take her to recoup her investment? years
Answer:
15 months and 8 days
Step-by-step explanation:
31,250 / 12 = 2604.16667 8,500/ 2604.16667 = 3.264 months of second year 12 + 3.264 = 15.264 months days 30 * 0.264= 7.92 add the together = 15 months and 8 days
The Budget Car Rental rates for renting a car for a day is shown in the table.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
According to given information,
a.) Initial cost of renting car (y - intercept (b)) = the total cost when the distance travelled = 0
that is :
blank - 1 : $ 100b.) rate of change = slope
[tex] \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \dfrac{105 - 100}{100 - 0} [/tex][tex] \dfrac{5}{100} [/tex][tex] \dfrac{1}{20} [/tex]blank - 2 : [tex]\dfrac{1}{20}[/tex]c.) Let's
[tex]y = mx + c[/tex]and according to above data :
y = Cx = dm = 1/20c = 100so, the required equation is :
[tex]c = \dfrac{1}{20} d + 100[/tex]put this equation in blank - 3 ~
Edward buys a bicycle online for 254.75$ if shipping and handling are an additional 24% of the price how much shipping and handiling will Edward pay
Answer:
24% of (254.75 US$) =
61.14 US$
Step-by-step explanation:
Answer:
61.14$.
Step-by-step explanation:
24% = 0.24.
254.75 * 0.24
= 61.14$.
