Hello there! I can help you! The formula for simple interest is prt. This means that you multiply the principal (the initial amount in the bank), by the rate (simple interest rate) by the amount of time (could be in months or years).
A. Okay. For this problem, we are looking for the amount of interest that will be in the bank after 6 months. We would multiply the time by 0.5, because 6 months is 1/2 a year and 1/2 = 0.5. Let's start off with the 1st account. 4,000 * 5.25% (0.0525) = 210. 210 * 0.5 is 105. There will be $105 in the first account after 6 months. Now, the second one. 2,000 * 6% (0.06) = 120. 120 * 0.5 is 60. There will be $60 in the 2nd account after 6 months. Here are the answers easier to read.
1st account: $105
2nd account: $60
b. To find the difference in the amount of interest earned, just subtract both amounts. 105 - 60 is 45. The difference of the amount of interest earned between the 2 accounts is $45.
c. The 1st account is giving you the most interest out of both accounts. Although it has a lower APR, it gives you the most money, because you have more money in the account initially, than in the 2nd account. When it comes to simple interest, it is calculated, based on the initial amount in the bank. You would have many more dollars in the bank with the first account, and that number would go up as more interest is added.
Answer:
Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z =
Simplify,
z =
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10()
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95
the Y intercept is 12 since its a fee you pay once. hence the key word initial. it would be your point that intercepts the y axis at 12 positive.
Answer:28 a is 17
Step-by-step explanation: