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VikaD [51]
3 years ago
11

A series of equal quarterly payments of $10,000 for 15 years is equivalent to what future worth amount at an interest rate of 6%

compounded at the given intervals?
Mathematics
1 answer:
kogti [31]3 years ago
6 0

Answer:

  $976,578.71

Step-by-step explanation:

We assume the deposits are made at the <em>beginning</em> of each quarter. The quarterly interest rate is 6%/4 = 1.5%. The number of quarterly payments is 15×4 = 60. The future value of an annuity due is ...

  A = P(1+r)((1+r)^n -1)/r

where r is the quarterly interest rate, n is the number of payments, and P is the payment amount.

  A = $10000(1.015)(1.015^60 -1)/.015 ≈ $976,578.71

The future value is $976,578.71.

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The system of equations graphed below has how many solutions? y= 2x+2, y=2x
Art [367]
Y = 2x + 2
Y = 2x -
Subtract

0 = 2

This makes no sense meaning the lines are parallel. Therefore there are 0 solutions.
8 0
3 years ago
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postnew [5]

Answer:

Area = 168m^2

Step-by-step explanation:

Area of triangle = 1/2×base×height

Area = 1/2bh

= 1/2(8+16)(14)

= 168m^2

7 0
2 years ago
The pair of triangles that are congruent by ASA criterion is
stealth61 [152]

Answer:

The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.

The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.

Step-by-step explanation:

Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.

Two triangles are congruent by SAS if  two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles  Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.

4 0
3 years ago
HELP IM DOIN A MATH TEST AND IM STUCK!!!!! Tim knows the volume In bass area of a wooden chest that is in the shape of a rectang
ki77a [65]

Answer:

Height is 1 1/24 unit.  

Step-by-step explanation:

Given:

volume = 5/24 unit³

base area = 1/5 unit²

Rectangular prism:

volume = length * width * height

base area = length * width

Volume = base area * height

height = volume / base area

h = 5/24 ÷ 1/5

h = 5/24 * 5/1 = 5*5 /24*1 = 25/24 = 1 1/24 unit

(hope this helps can i plz have brainlist :D hehe)

7 0
2 years ago
PLEASE ANSWER!!! A certain transformation moves a line segment as follows: Pt. A (2, 1) moves to A' (2, -1) and Pt. B (5, 3) to
worty [1.4K]

Answer: I believe this is a reflection

Step-by-step explanation: I think this is a reflection because the points are flipping to the exact opposite y coordinate.

Hope this helps.

3 0
3 years ago
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