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3 years ago

Carter lives on a street where all the house numbers are a multiple of 6. Name two house numbers between 601 and 650

Mathematics

1 answer:

GarryVolchara [31]3 years ago

7 0

Answer:

606 and 612

Step-by-step explanation:

A number is a multiple of 6 if:

1. the sum of its integers can be divided by 3

2. The number is even (ending in 0, 2, 4, 6, 8

With this rule in mind, you have to play around with the numbers. Of course, all odd numbers are out.

606:

6 is even

6 + 6 = 12

12 divided by 4 is 3

612:

2 is even

6 + 1 + 2= 9

9 divided by 3 is 3

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Find the value of annuity if the periodic deposit is $1500 at 8% compounded semiannually for 22 years

Jet001 [13]

Answer:

The value of annuity is $P_v = \$ 32058$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 1500$

The interest rate is $r = 8\% = 0.08$

Frequency at which it occurs in a year is n = 2 (semi-annually )

The number of years is $t = 22 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 1500 * [1 - (1 + \frac{0.08}{2} )^{-22 * 2} ] * [\frac{(1 + \frac{0.08}{2} )}{ \frac{0.08}{2} } ]$

$P_v = 1500 * [1 - (1.04 )^{-44} ] * [\frac{(1.04 )}{0.04} ]$

$P_v = 1500 * [1 - 0.178 ] * [\frac{(1.04 )}{0.04} ]$

$P_v = \$ 32058$

8 0

3 years ago

A game show has a bonus round where a contestant gets to spin a balanced wheel that is divided into eighths. The contestants win

kondaur [170]

The answer is A. 142.

After a profound research, I found out that the wheel numbers are:
25, 80, 60, 20, 100, 500, 150, 200.

To calculate how many cans of turtle wax can the game show expect to give out per player in the long run, we need to calculate the mean of the numbers on the wheel:
 $x= \frac{25+80+60+20+100+500+150+200}{8} = \frac{1,135}{8}= 141.875$

⇒ x ≈ 142

5 0

3 years ago

I’ll give brainlist to best answer

qaws [65]

Answer:

12.25

Step-by-step explanation:

Expression

x^2 + 2y

x = 2.5

y = 3

x^2 = 6.25