Jason makes a credit card purchase for $3000 that compounds interest daily. The APR is 4%. How much interest is earned on Jason's card after 1 year if Jason makes no payments?

The amount of interest earned on Jason's card after 1 year is $

Answer:

\(y = 2x+1\)

Step-by-step explanation:

Let y = mx + b.

We can find two points, (0, 1) and (1, 3).

Substituting both into the equation:

\(\left \{ {{1 = 0m + b} \atop {3 = m+b}} \right.\)

We find that b = 1, m = 2.

Thus, y = 2x + 1.

Step-by-step explanation:

Let,

\( \sf \vec{a} = 5 \hat{i} - \hat{j} + \hat{k} \\ \therefore \: \sf \: | \vec{a}| = \sqrt{ {5}^{2} + {( - 1)}^{2} + {1}^{2} } \\ = \sqrt{25 + 1 + 1} \\ = \sqrt{27} \\ \\ \sf \vec{b} = 2\hat{i} - \hat{j} + \hat{k} \\ \therefore \: \sf \: | \vec{b}| = \sqrt{ {2}^{2} + {( - 1)}^{2} + {1}^{2} } \\ = \sqrt{4 + 1 + 1} \\ = \sqrt{6} \\ \\\sf \: \vec{a}. \vec{b} = (5 \hat{i} - \hat{j} + \hat{k}).(2\hat{i} - \hat{j} + \hat{k}) \\ = 5 \times 2 + ( - 1) \times ( - 1) + 1 \times 1 \\ = 10 + 1 + 1 \\ = 12 \\ \\ \sf \: angle \: between \: \vec{a} \: and \: \vec{b} \: = \theta \\ \\ \: so \\ \sf \vec{a}. \vec{b} = | \vec{a}| . | \vec{b}| cos\theta \\ = > \sf \: cos \theta \: = \frac{ \vec{a}. \vec{b}}{ | \vec{a}| . | \vec{b}| } \\ = > cos \theta = \frac{12}{ \sqrt{27} \times \sqrt{6} } = 0.94 \\ = > \theta = {cos}^{ - 1} (0.94) \\ = > \green{\theta = 19.47 ^{ \circ} }\)

Answer:

20

Step-by-step explanation:

lol ok got it bro

Answer:

The correct option is (A).

Step-by-step explanation:

Let the random variable X represent the number of cars sold by the automotive salesman.

It is provided that the probability of the salesman selling a car to a random customer at his dealership is, p = 0.36.

A random sample of n = 8 customers is chosen.

The events that a customer purchases a car is independent of the other customers.

The random variable X thus follows a Binomial distribution with parameters n = 8 and p = 0.36.

The probability mass function of X is:

\(P(X=x)={8\choose x}(0.36)^{x}(0.64)^{8-x};\ x=0,1,2,3...\)

The probability of an event is provided as follows:

\({8\choose 3}(0.36)^{3}(0.64)^{5}+{8\choose 2}(0.36)^{2}(0.64)^{6}\)

The probability represents exactly three or two customers buying a car.

Answer:

There are 22 $10 coins and 21 $20 coins.

Step-by-step explanation:

Let x = the number of $10 coins

Let y = the number of $20 coins

You have two unknows so you need two equations.

x + y = 43

10x + 20y = 640.

Rewrite the first equation solving for x

x + y = 43

x = 43 - y  Substitute 43 - y in for x in the second equation.

10x + 20 y = 640

10(43 - y) + 20y = 640

430 - 10y + 20y = 640  Subtract 430 from both sides of the equation

-10y + 20y = 210  Combine the y's

10y = 210  Divide both sides by 10

y = 21  This is the number of $20 coins.

Substitute 21 in for y in either of the original equations to solve for x

x + 21 = 43  Subtract 21 from both sides

x = 22  This is the number of $10 coin.

Check:

Substitute in 21 for y and 22  for x

x + y = 43

21 + 22 = 43

43 = 43  checks

10x + 20y = 640

10(22) + 20(21) = 640

220 + 420 = 640

640 = 640 Checks

Answer:

We just multiply 75 with 3 to make it a perfect square. This is because, 75 = 5 × 5 × 3. 3 doesn't have a pair. Thus 75 × 3 = 225 and √225 is 15.

Step-by-step explanation:

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

Learn more about the present value at https://brainly.com/question/20813161.

#SPJ1

Solution

Step 1

Given data

Earning per day = $7.25

Step 2

Multiply the earnings per day by 5 to estimate the earnings in 5 days:

Step 3

Multiply

Final answer

He earned $36.25 in 5 days.

Answer: x = 6, y = 1, coordinate = (6, 1)

Step-by-step explanation:

Note that f(x) = y

so when given f(6) = 1

                           ↓    ↓

                        x=6   y=1

Answer:

9

Step-by-step explanation:

you would need to find the square root of the total amount of tiles. luckily 81 is a square number meaning the answer is each side is 9 tiles long.

The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.

The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.

In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.

Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.

The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.

To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)

Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.

For more such questions on rest wavelength

https://brainly.com/question/31327842

#SPJ8

Answer:

4 units ...................

Answer:

Step-by-step explanation:

Given expression:

Convert this into equation and solve for k:

So the value of k is 48

Hii student!

\(\multimap\parallel\odot\boldsymbol{Answer.}\odot\parallel\gets\)

________________________________________________________

k=48

________________________________________________________

\(\multimap\parallel\odot\boldsymbol{Explanation.}\odot\parallel\gets\)

__________________________________________________________

First we need to convert this verbal phrase into an equation.

\(\textsl{33 is less than k. } === > \textsl{33=k-15}\).

NOW we need to add 15 to both sides.

\(\textsl{33+15=k}\)

\(\textsl{48=k}\)

Hope that this helped! Best wishes.

\(\star\leadsto\textsl{Reach far. Aim high. Dream big.}\gets\star\)

\(\boldsymbol{-Greetings!-}\)

_______________________________________________________

Answer:

1 3/4 cups of wheat flour is in the bowl

Step-by-step explanation:

x + 2/3 = 2 5/12

First, convert the 2/3 to 12ths by multiplying numerator and denominator by 4 = 8/12

Then convert the 2 5/12 to an improper fraction 29/12

x + 8/12 = 29/12

subtract 8/12 from both sides

x = 21/12 = 1 9/12 = 1 3/4

Answer:

y=2.4

Step-by-step explanation:

7y-2=2y+10

7y-2y=10+2

5y=12

y=12/5=2.4

Answer:

447 cm or 337 cm can be both

The volume of the cone whose height and radius are equal to that of given cylinder`s height and radius is equal to 44cm³.

The volume of given cylinder is = 132cm³

The volume of a cylinder of radius r and height h is given by

V=πr²h

Therefore, πr²h=132

Now volume of cone of same radius and height is = (1/3)πr²h

                                                                                   =(1/3)×132

                                                                                   =44cm³

Hence, the volume of the cone with same radius and height as of given cylinder is 44cm³.

To learn more about cylinder click here:

https://brainly.com/question/21999117

#SPJ7

Answer: okay so first solve for x which is going to be x=10

Step-by-step explanation:

Combine like terms:

2 x + x + x + 2x + 2x = 8x

-1 -3 = -4

The equation becomes 8x -4 = 76

If you need to solve it:

8x-4 = 76

Add 4 to both sides:

8x = 80

Divide both sides by 8:

X = 10

Answer:

f-'(x) = \(\sqrt[3]{x+2}\)

Step-by-step explanation:

The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}

From the question, we have the following parametes that can be used in our computation:

Set = prime numbers

Cardinality = 5

The cardinality implies that the number of elements in the set is 5

5 prime numbers greater than 11 are 13, 17, 19, 23, 29

Hence, the set is {13, 17, 19, 23, 29}

Read more about set at

https://brainly.com/question/24713052

#SPJ1

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

Answer:

The total is: $ 1345.5

Step-by-step explanation:

It is given that:

I would like to purchase 20 products at a cost 65.00 per product.

This means that the cost of 20 products will be:

Also, there is a sales tax of 3.5%

This means that a person has to pay a extra 3.5% on the total cost of the items he purchased.

i.e. he need to pay 3/5% on $ 1300

This means that the amount of tax he need to pay is: 3.5% of 1300

                                                                             =  3.5%×1300

                                                                            = 0.035×1300

                                                                           = $ 45.5.

Hence, the total cost is: $ 1300+$ 45.5

This means that the total cost is: $ 134.5

Answer:

Dimensions 30 in x 30 in x 15 in

Surface Area = 2,700 in²

Step-by-step explanation:

Let 'r' be the length of the side of the square base, and 'h' be the height of the bin. The volume is given by:

\(V=13,500=h*r^2\\h=\frac{13,500}{r^2}\)

The total surface area is given by:

\(A=4*hr+r^2\)

Rewriting the surface area function as a function of 'r':

\(A=4*\frac{13,500}{r^2} *r+r^2\\A=\frac{54,000}{r}+r^2\)

The value of 'r' for which the derivate of the surface area function is zero, is the length for which the area is minimized:

\(A=54,000*r^{-1}+r^2\\\frac{dA}{dr}=0= -54,000*r^{-2}+2r\\\frac{54,000}{r^2}=2r\\ r=\sqrt[3]{27,000}\\r=30\ in\)

The value of 'h' is:

\(h=\frac{13,500}{30^2}\\ h=15\ in\)

The dimensions that will ensure the minimum surface area are 30 in x 30 in x 15 in.

The surface area is:

\(A=4*15*30+30^2\\A=2,700\ in^2\)

Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

Answer: A quarter turn

Step-by-step explanation:

She needs to pay N $8378.31 in two and a half years from now to meet her obligation.

What are the basic arithmetic operations?

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

Let's first calculate the total interest on the loan for three and a half years:

Interest = Principal × Rate × Time

Interest = 20000 × 0.05 × 3.5

Interest = 3500

So, the total amount she needs to pay back on maturity is:

20000 + 3500 = N$23500

Now, let's subtract the amount she plans to pay in the next 10 months and 16 months:

N$23500 - N$2000 - N$5000 = N$16500

So, she needs to pay N$16500 in two and a half years from now to meet her obligation.

Alternatively, we can also calculate the present value of the remaining payments using the formula for present value of an annuity:

PV = \(PMT \times (1 - (1 + r)^{(-n)}) / r\)

where PV is the present value, PMT is the payment amount, r is the interest rate per period, and n is the number of periods.

Using this formula, we get:

PV = \(2000 \times (1 - (1 + 0.05/12)^{(-10})) / (0.05/12) + 5000 \times x (1 - (1 + 0.05/12)^{(-16)}) / (0.05/12)\)

PV = N$13658.80

So, the amount she needs to pay in two and a half years from now to meet her obligation is the present value of the remaining payments:

PV = \(PMT \times (1 + r)^{(-n)}\)

N$13658.80 = \(PMT \times (1 + 0.05/12)^{(-30)}\)

PMT = N$8378.31

Hence, she needs to pay N$8378.31 in two and a half years from now to meet her obligation.

To learn more about maturity, Visit

https://brainly.com/question/14746626

#SPJ1

Step-by-step explanation:

Arithmetic sequences: a2 = a1 + n

Geometric sequences: a2 = a1 * n

a. geometric (2 = 1 * 2, 4 = 2 * 2, 8 = 4 * 2 ...)

b. arithmetic (8 = 5 + 3, 11 = 8 + 3 ...)

c. arithmetic (10 = 5 + 5)

d. geometric (100 = 10 * 10)

Answer:

Step-by-step explanation:

Cost of 3 oranges = cost of 54 oranges / 18

Mary Lou Mason's total taxes on her purchase would be $1.37.

Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.

Mary Lou Mason's total purchase was $19.14.

To calculate the total taxes for her purchase, we can use the following formula:

Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)

Therefore, the total taxes for Mary Lou Mason's purchase would be:

Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)

Tax = (0.065 x 19.14) + (0.015 x 19.14)

Tax = 1.24 + 0.13

Tax = $1.37

Mary Lou Mason's total taxes on her purchase would be $1.37.

For more questions related to Sales

https://brainly.com/question/24951536

#SPJ1