How do I solve for x, if the equation is: y=mx+b

Tom wants to have $50,000 saved sometime in the future. How much must he deposit every month into an account that pays 1.45% int

TEA [102]

Answer:

$ 809.78

Step-by-step explanation:

Given that

F = future value = $50,000

Interest rate = r = 1.45% = 0.0145

Number of period per year = 12months

Time expressed in years = 5years

The present value of a periodic deposit

P =( F ×r/n)/{ (1+r/n)^nt} -1

Substituting the values into the above formula

P = (50000× 0.0145/12)/(1+0.0145/12)^12×5}-1

= 50000×0.001208/(1+0.0012)^60}-1

= 60.4/1.0012)^60}-1

60.416/1.074608-1

60.4/0.07460

= $ 809.779

His monthly deposit will be $ 809.78

3 0

3 years ago

A recipe for 114 dozen cupcakes calls for 123 cups of flour, but Rashida has only 1 cup of flour. How many cupcakes can she make

Katarina [22]

Answer:

9 cups

Step-by-step explanation:

Given

$1\frac{1}{4}\ dozen\ cupcakes = 1\frac{2}{3}\ cups$

Required

Determine the number of cupcakes for 1 flour

Represent this with x

$x = 1\ cup$

$1\frac{1}{4}\ dozen\ cupcakes = 1\frac{2}{3}\ cups$

Cross Multiply

$x * 1\frac{2}{3}= 1\frac{1}{4}\ dozen * 1$

$1\frac{2}{3}x = 1\frac{1}{4}\ dozen$

Convert fractions to improper fraction

$\frac{5}{3}x = \frac{5}{4}\ dozen$

Solve for x

$x = \frac{5}{4} * \frac{3}{5}\ dozen$

$x = \frac{3}{4}\ dozen$

$1\ dozen = 12$

So, we have:

$x = \frac{3}{4} * 12$

$x = 9\ cups$

8 0

3 years ago

A teacher dropped 8 coins on the table and counted the number of tails to simulate the number of questions a student might guess

AlexFokin [52]

Answer:

Hello! The answer is 5

Step-by-step explanation:

I know this because I just took the test :) trust me , I made a 100%

8 0

4 years ago

According to the rational root theorem, which statement about f(x)=66x^4-2x^3+11x^2+35 is true?

andrezito [222]

Answer:

Option (1)

Step-by-step explanation:

If a polynomial is given in the form of f(x) = ax³ + bx² + c

By rational root theorem rational roots of the given polynomial will be,

x = $\frac{\pm \text{Factors of c}}{\pm \text{Factors of a}}$

Given polynomial in the question is,

f(x) = 66x⁴- 2x³ + 11x²+ 35

Possible rational roots will be,

x = $\frac{\pm \text{factor of 35}}{\pm \text{Facors of 66}}$

Therefore, Option (1) will be the answer.

5 0

3 years ago

..A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random from the

monitta

28:36, I hope this helps if it doesn't then tell me.

5 0

3 years ago

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