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pashok25 [27]
3 years ago
5

A bank account balance, b, for an account starting with s dollars, earning an annual interest rate, r, and left untouched for n

years can be calculated as b = s(1 + r)^n (an exponential growth formula). Find a bank account balance to the nearest dollar, if the account starts with $100, has an annual rate of 4%, and the money left in the account for 12 years.
Mathematics
1 answer:
lesya692 [45]3 years ago
8 0
B = 100(1 + 0.04)^12 = 100(1.04)^12 = 100(1.601) = $160.10
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Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relation
Verdich [7]

Since no possible correct method is posted, I will suggest a couple.

Method 1: guess and check

Works well for simple problems involving integers like this one.

Victor's age must be zero or greater than one, say one.

Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.

we need to make v bigger

Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔

So v=2, m=8.

Method 2:

Solve the system of two equations.

since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.

5v-2=v+6

Solve for v

5v-v = 6+2

4v=8

v=2,

so again, v=2, m=v+6=2+6=8.

6 0
4 years ago
Section 5.2 Problem 6:<br><br>Find the general solution<br><img src="https://tex.z-dn.net/?f=y%27%27%20%2B%206y%27%20%2B%2010y%2
mihalych1998 [28]

Answer:

y=e^{-3t}(A\: cos\: t+B\:sin\:t)

Step-by-step explanation:

<u>Given Second-Order Homogenous Differential Equation</u>

y''+6y'+10y=0

<u>Use Auxiliary Equation</u>

<u />m^2+6m+10=0\\\\(m+3)^2+1=0\\\\(m+3)^2=-1\\\\m+3=\pm i\\\\m=-3\pm i

<u>General Solution</u>

<u />y=e^{pt}(A\: cos\: qt+B\:sin\:qt)\\\\y=e^{-3t}(A\: cos\: t+B\:sin\:t)

Note that the DE has two distinct complex solutions p\pm qi where A and B are arbitrary constants.

4 0
2 years ago
What is the theme of the poem "Queen of the Cats"?
4vir4ik [10]

Answer:

Isu has a cat named Bashet. This one of the many names of the goddess Bast, queen of cats. He has siamese-type traos; his body has a ply tan ned hair, while his legs, tail, face and ears are so dark brown. Brown gradually blends into the most plida color. The cat just a normal cat, but Isu treats it with special reverence

Step-by-step explanation:

8 0
3 years ago
Use the explicit formula an = a1 + (n – 1) • d to find the 250th term of the sequence below. 57, 66, 75, 84, 93, ...
strojnjashka [21]

The general term of an arithmetic sequence is,

a_{n} =a_{1} +(n-1)d

Where , a_{n} = nth term.

a_{1}= First term

and d = common difference.

The given sequence is: 57, 66, 75, 84, 93, ...

Here a_{1}= 57,

d = 66 - 57 = 9

We need to find the 250th term. So, n = 250.

Next step is to plug in these values in the above formula. Therefore,

a_{250} =57 +(250-1)*9

= 57 + 249 * 9

= 57 + 2241

= 2298

Therefore, 250th of this sequence is 2298

Hope this helps you!

5 0
4 years ago
James deposit 2 checks for $44.89 and one check for $134.80 into his account how much does he have now?
Arturiano [62]

Answer: $179.69

Step-by-step explanation:

James deposit 2 checks for $44.89 and one check for $134.80 into his account so that means that he will have $179.69 in his account now.

hope this helps

8 0
3 years ago
Read 2 more answers
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