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Ronch [10]
3 years ago
12

which equation below models the number of years (y) Ariana must leave the money in the account to reach her goal?

Mathematics
2 answers:
baherus [9]3 years ago
6 0

Answer:

B

Step-by-step explanation:

First of all, the interest is compounded which means that the new principle is the principle from the year before added to the interest from the year before.

So, for example, at the end of the first year she will have accumulated 60 dollars in interest. That 60 dollars is added to the 2000 and the second year will give you 2060 dollars as your principle. That means that anything using 0.03 is incorrect if not with the 1.

A and C are both incorrect.

You don't want to be adding even if you are using 1.03. So  that means

D is incorrect.

The answer must be B

Darina [25.2K]3 years ago
3 0

Answer:

The answer is B

Step-by-step explanation:

For these equations, the number inside the parenthesis has to be greater than 1 in order to increase. You also have to multiply what is inside the parenthesis with what is outside.

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Read 2 more answers
In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the
STALIN [3.7K]

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

4 0
2 years ago
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