Fourth term of sequence is 216, sixth term 96


Answer 1
Answer: 312 I think, hop[e this helps

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A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.)1. How many ounces of almonds would be in a one-pound bag of this trail mix? 2. Explain or show your reasoning. (OPTIONAL)

A survey of 1000 young adults nationwide found that among adults aged 18-29, 35% of women and 30% of men had tattoos. Suppose that these percentages are based on random samples of 500 women and 500 men. Using a 2.5% level of significance, can you conclude that among adults aged 18-29, the proportion of all women who have tattoos exceeds the proportion of all men who have tattoos?



95% confidence interval for adults in age group 18-29 is (-0.007, 0.107)

Step-by-step explanation:


N1 = n2 = 500

% of males = 0.30

% of females = 0.35

95% confidence interval  

(p2-p1) + z(0.025) sqrt (p1q1/n1 + p2q2/n2)  and (p2-p1) - z(0.025) sqrt (p1q1/n1 + p2q2/n2)  

Substituting the given values, we get –  

(0.35-0.30) + 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500) and (0.35-0.30) - 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500)

0.05 + (1.96 *0.029) and 0.05 - (1.96 *0.029)

0.05 + 0.057 and 0.05 – 0.057  

(-0.007, 0.107)

You earn $28 for washing 4 cars. How much do you earn for washing 3 cars?




Step-by-step explanation:



Step-by-step explanation:

First, find the unit rate for 4 cars. 28 divided by 4 equals 7. Then, just multiply 7 by 3 and you get 21

Suppose you decide to invest in an annuity that pays 5% interest, compounded semiannually. How much money do you need to invest semiannually to reach a savings goal of $300,000 at the end of 25 years.


Final answer:

To reach a savings goal of $300,000 at the end of 25 years, you need to invest approximately $4,206.42 semiannually with a 5% interest rate compounded semiannually.


To calculate the amount of money you need to invest semiannually to reach a savings goal of $300,000 at the end of 25 years, you can use the formula for the future value of an annuity:

FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where FV is the future value, P is the amount you need to invest each period, r is the interest rate per period (5% in this case), n is the number of compounding periods per year (2 for semiannual compounding), and t is the number of years.

Inserting the given values into the formula:

FV = P * ((1 + 0.05/2)^(2*25) - 1) / (0.05/2)

Solving for P:

P = FV * (r/n) / ((1 + r/n)^(n*t) - 1)

Substituting the values:

P = 300,000 * (0.05/2) / ((1 + 0.05/2)^(2*25) - 1)

Calculating the value of P, we find:

P ≈ 4206.42

Therefore, you need to invest approximately $4,206.42 semiannually to reach your savings goal of $300,000 in 25 years.

Learn more about Calculating the amount needed to invest in an annuity to reach a savings goal here:


4 in.7 in18 in.4 in.The surface area of the rectangular prism issquare inches.The volume of the rectangular prism isy cubic inches.


We have been given a rectangular prism and we are required to find its surface area and volume.

We shall solve this question by first stating the formula of the parameter we want to find, then, we apply the respective formulas to find the values of these parameters.

Surface area:

The surface area is the sum total of all the areas of all the faces of the prism.

To solve this question, we need to note that there are 6 faces whose area we must calculate but out of the 6, there are two faces

each that are equal in area.

From the above figure, we have that:



FACE 5 = FACE 6.

Thus, once we find the area of FACE 1, we already have the area of FACE 2 and so on.

Also, since each face is a rectangle, the area of a rectangle is given by:

\begin{gathered} A=l* b \n l=\text{length} \n b=\text{breadth or width} \end{gathered}

Now, let us calculate the area of FACE 1, 3 and 5.

\begin{gathered} \text{FACE 1:} \n A_1=18*4=72in^2 \n \text{FACE 3:} \n A_3=4*7=28in^2 \n \text{FACE 5:} \n A_5=18*7=126in^2 \end{gathered}

Now we just sum up all the areas and multiply them by two to account for FACES 2, 4 and 6

\begin{gathered} A_S=2*(72+28+126) \n \therefore A_S=452in^2\text{ } \end{gathered}

Therefore, the Surface area of the rectangular prism is:

452 square inches


The formula for the volume of a rectangular prism is given as:

\begin{gathered} V=l* w* h \n l=\text{length} \n w=\text{width or breadth} \n h=\text{height or depth} \end{gathered}

The length, width, and height are shown in the figure below:

Thus, we can easily calculate our volume as shown below:

\begin{gathered} V=7*18*4in^3 \n \therefore V=504in^3 \end{gathered}

Therefore, the Volume of the rectangular prism is:

V = 504 cubic inches

To recap, the final answers are:

Surface Area = 452 square inches

Volume = 504 cubic inches

Let f(x)=3x+5, g(x)=2^x
Find f(g(x))



The expression will be 3(2^x) + 5

Step-by-step explanation:

In order to find the new expression, you have to let g(x) be the x :

f(x) = 3x + 5

g(x) =  {2}^(x)

fg(x) = 3( {2}^(x) ) + 5

The tax on a property with an assessed value of $90,000 is $1,350. Find the tax on a property with anassessed value of $140,000.
a. $1500.00
b. $150.00
c. $2100.00
d. $210.00
e. $750.00



0.015 or 1.5% tax

Step-by-step explanation:

90000x0.015 = 1350

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