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LUCKY_DIMON [66]
3 years ago
9

Will give brainliest FAST

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0
This is the answer I wish you will understand

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Answer please I will give brainiest to the one who answers first.
Lerok [7]

Answer:

  • $1,094,748.09
  • $8600.28
  • 11 years, 10 months

Step-by-step explanation:

a) The compound interest formula can be used:

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

  A = $750,000(1 +.038/4)^(4·10) ≈ $1,094,748.09

Tamsyn's account will have a balance of $1,094,748.09 when she retires.

__

b1) The amortization formula is good for this.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the amount earning interest at annual rate r compounded n times per year for t years.

  A = $1,094,748.09(0.049/12)/(1 - (1 +0.049/12)^(-12·15)) ≈ $8600.28

Tamsyn can withdraw $8600.28 per month for 15 years.

__

b2) The account balance after n months will be ...

  B = P(1 +r/12)^n -A((1+r/12)^n -1)/(r/12)

Filling in the known values and solving for n, we have ...

  300,000 = 1,094,748.09(1.1.00408333^n) -8600.28(1.00408333^n -1)/.000408333

  300,000 = 1,094,748.09(1.1.00408333^n) -2,106,191.02(1.00408333^n -1)

  -1,806,191.02 = -1,011,442.93(1.00408333^n)

  1.785757 = 1.00408333^n

  n = log(1.785757)/log(1.00408333) = 142.3

After about 11 years 10 months, the account balance will be $300,000.

4 0
3 years ago
Exercice1
Yuliya22 [10]

Step-by-step explanation:

step by step step by step step by step by step by step step by step 352 Part 8 International natural + 11 exercise to fork out

7 0
3 years ago
What is the missing value of 5x-2y=30 (8,)
AnnZ [28]

Answer:

In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

7 0
3 years ago
s the number of points scored during a basketball gamenumber of points scored during a basketball game a discrete random​ variab
Temka [501]

Answer:

The answer is Discrete Random Variable

Step-by-step explanation:

A random variable is considered discrete if its possible values are countable.

In our case,

In a basketball game, for example, it is only possible for a team's score to be a whole number—no fractions or decimals are allowed, and so the score is discrete.

A good rule of thumb is this: if the variable you're measuring has to be rounded before it's written down, then it's continuous. If no rounding is necessary, as with anything that's countable, then it's discrete.

5 0
3 years ago
Read 2 more answers
The triangles below are similar because of the:
STALIN [3.7K]

Answer:

ΔABC and  ΔXYZ are SIMILAR by SSS property of similarity.

Step-by-step explanation:

SSS Similarity Theorem:

Two triangles are said to be similar if their  CORRESPONDING SIDES are proportional.

In ΔABC and  ΔXYZ, if \frac{AB}{XY}  = \frac{BC}{YZ} = \frac{AC}{XZ}  , then  △ABC∼△YZX

Here, in ΔABC and  ΔXYZ

AB = 9, BC = x , AC = 12

Similarly, XY = 3, YZ = 2, ZX = 4

Here,

\frac{AB}{XY} = \frac{9}{3}  = 3\\\frac{BC}{YZ} = \frac{x}{2} \\\frac{Ac}{Xz} = \frac{12}{4}  = 3

⇒ Corresponding sides are in the ratio of 3, if BC  =6 units

Hence, if BC  = 6 units, then the ΔABC and  ΔXYZ are SIMILAR by SSS property of similarity.

8 0
3 years ago
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