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Tema [17]
3 years ago
14

g The parents of three children, ages 1, 3, and 6, wish to set up a trust fund that will pay X to each child upon attainment of

age 18, and Y to each child upon attainment of age 21. They will establish the trust fund with a single investment of Z. Find the equation of value for Z.
Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0

Answer:

Z=X(v¹⁷+v¹⁵+v¹²) + Y(v²⁰+v¹⁸+v¹⁵)

Step-by-step explanation:

For the the first child of age 1 yea to be paid an investment of X at age 18 will be Xv¹⁷ and an investment of Y at age 21 will be Yv²⁰·

also for then 3 years old child to be paid an investment of X at age 18 will be Xv¹⁵ and an investment of Y at age 21 will be Yv¹⁸

lastly for the 6 years old child be paid an investment of X at age 18 will be Xv¹² and an investment of Y at age 21 will be Yv¹⁵·

Hence the investment Z must be equal to the summation of all this values

Z=X(v¹⁷+v¹⁵+v¹²) + Y(v²⁰+v¹⁸+v¹⁵)

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8. If k = log, 3 then log, 48 =<br> 16<br> (1) 2k +3<br> (3) k +8<br> (2) 3k +1<br> (4) k +4
vekshin1

assuming you means k = log_2(3) [as log(2)3 is the same thing as 3log(2) due to multiplication being commutative]

given log(ab) = log(a) + log(b)

log_2(48) = log_2(3) + log_2(16)

5 0
3 years ago
Hey can you please help me!
melisa1 [442]

Answer:


Step-by-step explanation:

1) Tangent makes 90 degrees with the radius. Hence

a) Angle ABD = 90-angle BDC = 90-61.3 = 28.7

b) Triangle BCD is isosceles since tangents have equal length.

Hence angle BCD = 180-(61.3+61.3) = 57.4

c) Angle BDC = 57.4 (since triangle BCD is isosceles)

d) Angle BAC and Angle BCD are supplementary. Hence angle BAC = 122,6

-------------------------------------------

2) Arc length of minor arc BC = \frac{79.3}{360} (24) = 5.287

b) ARc length of minor arc = circumference -minor arc

= 18.713

---------------------------------------------

3) circumference = pi d = 3.14(9) = 28.26


6 0
3 years ago
Tavon has a gift card for $45 that loses $2 for each​ 30-day period it is not used. He has another gift card for $35 that loses
leva [86]

Answer:

1

Step-by-step explanation:

7 0
3 years ago
A pair of equations is shown below:
Elan Coil [88]
So, both equations are essentially linear equations.
Linear equations are written in the format y = mx+b, where m represents the slope/slope intercept and b represents the y-intercept.
---------------------------------------------------------------------------------------------------------------
Part A
the slope and y-intercept

y = mx +b
m - the slope; b- y-intercept

therefore;

y = 6x - 4
m = 6; b = -4

y = 5x - 3
m = 5; b = -3

The coordinates of the point where the lines are crossed are the solution to the system of linear equations.

How to graph the lines:
y = 6x - 4
y-intercept (0; -4)
for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)

y = 5x - 3
y-intercept (0; -3)
for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)

***look at the img for graph reference***

Part B: x = 1; y = 2

4 0
3 years ago
A clothes shop has some special offers.
castortr0y [4]

Answer:

The cost of 5 jumpers will be £ 58.40 (one more can be taken for free), the cost of 4 T shirts will be £ 9.60, and the total cost of the purchase will be £ 68.

Step-by-step explanation:

Since a clothes shop has some special offers, for which T-shirts are buy one get one free and jumpers are 3 for 2, and the normal price of a T-shirt is £ 4.80 and the normal price of a jumper is £ 14.60, to determine how much does it cost to get 5 jumpers and 4 T-shirts using this offer as appropriate, the following calculation must be performed:

4 T shirts = 2 + 2

4.80 x 2 = 9.60

5 jumpers = 2 (+1) + 2

4 x 14.60 = 58.40

Therefore, the cost of 5 jumpers will be £ 58.40 (one more can be taken for free), the cost of 4 T shirts will be £ 9.60, and the total cost of the purchase will be £ 68.

6 0
2 years ago
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