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3 years ago

Wht are the next three terms in the sequence -3 6 15 24

Mathematics

2 answers:

Nostrana [21]3 years ago

8 0

The answer is 27, because it adds 3 as it goes. Not sure because of the 15 tho.

kogti [31]3 years ago

4 0

6--3=9
15-6=9,
so
24+9=33,
33+9=42,
42+9=51
33,42,51

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$3500 is deposited into a bank account earning 6.75% interest compounded monthly. How long will it take to double in the account

nekit [7.7K]

Answer:

Compounded monthly: It will take 10 years, 4 months to double

Compounded continuously: They will make $13.65 more

Step-by-step explanation:

Set up the first part using the equation for compounding interest that is not continuous...

A = P(1 + r/n)^(nt) where r is the rate as a decimal, n is the number of times the interest is compounded, A is the final amount, t is number if years it is compounded for, and P is the initial principle (or deposit)

Plug in what w have. We want our $3,500 to double, so P = 3500, A = 7000,

r = 0,0675 and n = 12

7000 = 3500(1 + 0.0675/12)^(12t)

We need to solve for t. First divide both sides by 3500

2 = (1 + 0.0675/12)^(12t)

use natual log rules to solve for t...

ln (2) = (12t)ln(1.005625)

[ln (2)]/[ln (1.005625)] = 12t

123.5724150 = 12t

10.29770125 = t

Or 10 years 4 months (technically 10 years, 3.57 months, but the interest is compounded by the full month, so we need to round up)

When the interest is compounded continuously, we use the fromula

A = Pe^(rt) plug in the info we are given to find out how much more we can make...

A = 3500e^(0.0675*10.29771025) { here we use the actual value we found for t in the last part since the interest is compounded continuously}

A = 7,013.65

That's $13.65 more than when it was compounded monthly for the same time

7 0

2 years ago

Elena walked 12 miles. Then she walked 0.25 that distance. How far did she walk altogether? Select all that apply.

mafiozo [28]

15 miles

12 x 0.25 =3
12+3=15

7 0

2 years ago

Read 2 more answers

I dont understand the question Simplify 5n+13−8n−9

Anarel [89]

You can simplify by adding the like terms which would be -8n and 5n and you get -13n so the simplified version would be -13n+4

5 0

3 years ago

When constructing parallel and perpendicular lines, how are the steps similar?

Rasek [7]

<span>Intersecting arcs are created and connected.</span>

6 0

3 years ago

A group of freshmen at a local university consider joining the equestrian team. Thirty‑five percent of students choose Western r

lesantik [10]

Answer:

a) Option D) 0.75

b) Option D) 0.3

Step-by-step explanation:

We are given the following in the question:

Percentage of students who choose Western riding = 35%

$P(w) = 0.35$

Percentage of students who choose dressage= 45%

$P(d) = 0.45$

Percentage of students who choose jumping = 50%

$P(j) = 0.50$

Percentage of students who choose both dressage and jumping = 20%

$P(d \cap j) = 0.20$

Percentage of students who choose Western and dressage = 10%

$P(w \cap d) = 0.10$

Percentage of students who choose Western and jumping = 0%

$P(w \cap j) = 0$

Thus, we can say

$P(w \cap j \cap d) = 0$

Formula:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

a) P(student chooses dressage or jumping)

$P(d \cup j) = P(d) + P(j) -p(d \cap j)\\= 0.45 + 0.50-0.20 = 0.75$

b) P(student chooses neither dressage nor Western riding)

$= 1 - P(d \cup w)\\= 1 - (P(d) + P(w) - P(d \cap w))\\= 1 - (0.45 + 0.35 - 0.10)= 0.3$

5 0

3 years ago