Answer:
Step-by-step explanation:
Use the basic simple interest formula:
P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:
P * r * t = I
Acct 1
Acct 2
If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other. We will fill those in along with the interest rates in decimal form and the time of 1 year:
P * r * t = I
Acct 1 x .04 1
Acct 2 1500-x .05 1
Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:
P * r * t - I
Acct 1 x .04 1 .04x
Acct 2 1500-x .05 1 .05(1500-x)
The total Interest earned by the addition of the interest earned from both accounts is 69.50. So we add the interest column together and set it equal to 69.50:
.04x + .05(1500 - x) = 69.50 and
.04x + 75 - .05x = 69.50 and
-.01x = -5.5 so
x = 550
That's how much money is in the account earning 4% interest.
The answer to 4-6 is negative 2
Answer:
Yes, the assets appear to follow a normal distribution, the values are concentrated in the center and taper off towards the ends
Step-by-step explanation:
The distribution shown above is normal as it exhibits symmetry. This means thatvtge values are concentrated in the middle with the peak so situated in the middle of the distribution which is exactly what is displayed above. As we move towards either side of the center, the values begin to decrease and we have the tail at either side of the midpoint and not on one side of the distribution.
Answer:
Step-by-step explanation:
4x + 15 = 3
Subtract 15 from both sides
4x + 15 - 15 = 3 - 15
4x = -12
Divide both sides by 4
4x/4 = -12/4
x = -3
Check:
substitute x = -3 in the LHS of the equation,
4*(-3) + 15 = -12 + 15
= 3 = RHS
Answer:
Ans: 29
Step-by-step explanation:
soln:
Given,
x=3 and y=-2
Now,
x^2-3xy+1/2y^2
= 3^2-3×3×(-2) +1/2(-2)^2
= 9+18+4/2
= (18+36+4) /2
= 58/2
= 29 Ans
