Answer:
(-3,-1)
Step-by-step explanation:
You can graph both of the points on desmos, and then look at the slope from p1 to the midpoint. so you can get the slope, and use it to get the p2. the slope is -4/6. So you get that answer.
compounded quarterly. After 9 years, how much more money would Zachary have in
his account than Peyton, to the nearest dollar?
After 9 years, Zachary has $615.2 more than Peyton in his account.
A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
The equation is given as,
Zachary invested $5,300 in an account paying an interest rate of 9 % compounded continuously. Then the amount is calculated as,
P = $5,300 × 2.2479
P = $11,913.9
Peyton invested $5,300 in an account paying an interest rate of 85% compounded quarterly. Then the amount is calculated as,
A = $5,300 × 2.1318
A = $11,298.7
The difference is given as,
D = $11,913.9 - $11,298.7
D = $615.2
After 9 years, Zachary has $615.2 more than Peyton in his account.
More about the compound interest link is given below.
#SPJ5
Answer:625
Step-by-step explanation:
12048.7006-11423.8842
624.8164
$625
Answer:
Step-by-step explanation:
The assumptions include:
The samples from each population must be independent of one another: this was adequately met.
The populations from which the samples are taken must be normally distributed: this was not talked about
The population standard deviations must be known: not known
or the sample sizes must be large (i.e. n1≥30 and n2≥30: true
The validity conditions for a two-sample z-test/interval were not all adequately met
Answer:
Graph A
Step-by-step explanation:
Say that the car rental rate stands for c dollars ( $ ). We know that Jamal's trip lasts for 4 days, paying $ 24 in expenses for gas, and $ 128 for taxi services. Based on these requirements for his trip the question asks for a graph that models this situation, but lets start with the inequality.
______
The big key here is the part " which graph shows the range of car rental rates that would be cheaper than the taxi service. " Our inequality must thus have the variable " c " on the same side as the payment for gas ($ 24 ), and must be less than the taxi service ( $ 128 ), or in other words a less than sign. Another point is the car rental rate. We know it stands for c, but it is dependent on the number of days. Hence we can conclude the following inequality,
24 + 4c < 128 - Subtract 24 from either side,
4c < 104 - Divide by 4 on either side, isolating c,
c < 26
The range of car rental rates that would be cheaper than the taxi service should be { c | 0 ≤ c < 26 }, knowing variable c stands for the car rental rates.
______
The graph that models this range should be the first one, option A. This graph is not accurate however, as it extends infinitely in the negative direction, and you can't have negative money, or rather be in debt - in this situation.
Answer:
A is the answer
Step-by-step explanation:
Answer:
The answer is "".
Step-by-step explanation:
Solve the L.H.S part:
After calculating the L.H.S part compare the value with R.H.S:
In equation (i) multiply by 3 and subtract by equation (iii):
put the value of c in equation (i):
In equation (ii) multiply by 3 then subtract by equation (iv):
put the value of d in equation (iv):
The final answer is "".
similar to the graph of x > a? How is it different?
Answer:
• If the equations of a and b are polynomials,it'll be a curve between a and b [ b<x<a]
• If the equations of a and b are linear,it'll be a line between a and b
Answer:
(the statement does not appear to be true)
Step-by-step explanation:
I don't think the statement is true, but you CAN compute the intercepted arc from the angle.
Note that BFDG is a convex quadrilateral, so its angles sum to 360. Since we know the inscribed circle touches the angle tangentially, angles BFD and BGD are both right angles, with a measure of 90 degrees.
Therefore, adding the angles together, we have:
alpha + 90 + 90 + <FDG = 360
Therefore, <FDG, the inscribed angle, is 180-alpha (ie, supplementary to alpha)