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3 years ago

2/3x +4 = 2/5 rewrite the equation so it doesn’t have fractions. Do not use decimals.

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

6 0

Answer:

exfv

Step-by-step explanation:

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Select the correct answer. What are the intercepts of y = 4x − 2?

ValentinkaMS [17]

x-intercept(s): (1/2, 0) or (0.5, 0)

y-intercept(s): (0, −2)

8 0

3 years ago

Read 2 more answers

Please Help ASAP with Math

vampirchik [111]

Answer:

5.33

Step-by-step explanation:

move the 4 out of the summation because just a constant multiplier

4 *sum from 1 to 10 for (1/4)^(n-1) [sorry i don't know how to write sums using latex)

The formula for the geometric sum is :

First term*(1-multiplier^n)/(1-multiplier), formally $\frac{a_1(1-r^n)}{1-r}$

Here multiplier is 1/4

First term is (1/4)^(1-1) = 1

Thus the value of sum is $1*(1-(1/4)^1^0)/(1-1/4)$ which equals $(1- (1/4)^1^0)*4/3$

We factored out 4 so its $4*(1-(1/4)^1^0)*4/3$ which is $16/3 * (1- (1/4)^1^0)$

This equals 5.333328247 which is 5.33 to the nearest hundredth

5 0

2 years ago

Solve the following for the variable x.<br> 3x - 16 = 38

shusha [124]

Answer: x= 18

Step-by-step explanation:

3x - 16 = 38

38 + 16 = 54

3x/3 = 54/3

X= 18

3 0

3 years ago

Read 2 more answers

Suppose I rolled a fair six-sided die. Let R=number rolled. What is the sample space,

Mariana [72]

Answer:

No Side Is Being Favored Since The Die Is A Fair Six-Sided Die.

So Each Number Has The Same Chance Of Being Rolled.

6 0

3 years ago

uppose that Mary's utility function is U(W) = W0.5, where W is wealth. She has an initial wealth of $100. How much of a risk

Stels [109]

Note that $U(W) = W^{0.5}$

Answer:

Mary's risk premium is $0.9375

Step-by-step explanation:

Mary's utility function, $U(W) = W^{0.5}$

Mary's initial wealth = $100

The gamble has a 50% probability of raising her wealth to $115 and a 50% probability of lowering it to $77

Expected wealth of Mary, $E_w$

$E_{w}$ = (0.5 * $115) + (0.5 * $77)

$E_{w}$ = 57.5 + 38.5

$E_{w}$ = $96

The expected value of Mary's wealth is $96

Calculate the expected utility (EU) of Mary:-

$E_u = [0.5 * U(115)] + [0.5 * U(77)]\\E_u = [0.5 * 115^{0.5}] + [0.5 * 77^{0.5}]\\E_u = 5.36 + 4.39\\E_u = \$ 9.75$

The expected utility of Mary is $9.75

Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where

U(EW - P) is equal to Mary's expected utility from the risky gamble.

U(EW - P) = EU

U(94 - P) = 9.63

Square root (94 - P) = 9.63

If Mary's risk premium is P, the expected utility will be given by the formula:

$E_{u} = U(E_{w} - P)\\E_{u} = U(96 - P)\\E_u = (96 - P)^{0.5}\\(E_u)^2 = 96 - P\\ 9.75^2 = 96 - P\\95.0625 = 96 - P\\P = 96 - 95.0625\\P = 0.9375$

Mary's risk premium is $0.9375

7 0

3 years ago