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Neporo4naja [7]
3 years ago
10

Solve for n 2n +4 = 3.4

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer:

n= -0.3

Step-by-step explanation:

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David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously. Natalie invested $3
Nutka1998 [239]

Answer:

$53.83

Step-by-step explanation:

For David

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously.

r = 2 1/8% = 17/8% = 2.125% = 0.02125

t = 17 years

P = $340

For Compounded continuously, the formula =

A = Pe^rt

A = Amount Invested after time t

P = Principal

r = interest rate

t = time

A = $340 × e^0.02125 × 17

A = $ 487.94

For Natalie

Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 ​ % compounded quarterly.

r = 2 3/4 % = 11/4% = 2.75% = 0.0275

t = 17 years

P = $340

n = compounded quarterly = 4 times

Hence,

Compound Interest formula =

A = P(1 + r/n)^nt

A = Amount Invested after time t

P = Principal

r = interest rate

n = compounding frequency

t = time

A = $340 (1 + 0.0275/4) ^17 × 4

A = $ 541.77

After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?

This is calculated as

$541.77 - $ 487.94

= $53.83

Hence, Natalie would have in her account, $53.83 than David

4 0
3 years ago
Are 8x^2y and -5yx^2 like terms? Explain.
MaRussiya [10]

Like terms must have the same variables and those variables must have the same powers.

7a^2b^3 and 9a^2b^3 are like terms, because they both have a^2 and they both have b^3.

7a^2b^3 and 7a^3b^2 are NOT like terms, because the powers no longer match.

In your example, do you have the same variables and do the variables have the same powers in both expressions?

6 0
3 years ago
Solve for x.<br><br> logx+log3=log18
ad-work [718]

<u>Answer:</u>

<em>The value of x in log x + log 3 = log 18 is </em><em>6</em><em>.</em>

<u>Solution:</u>

From question, given that log x + log 3 = log 18 ---- eqn 1

Let us first simplify left hand side in above equation,

We know that log m + log n = log (mn) ----- eqn 2

Adding log m and log n results in the logarithm of the product of m and n (log mn)  

By using eqn 2, log x + log 3 becomes log 3x.  

log x + log 3 = log 3x ---- eqn 3

By substituting eqn 3 in eqn 1, we get

log 3x = log 18  

Since we have log on both sides, we can cancel log and the above equation becomes,

3x = 18

x = \frac{18}{3} = 6

Thus the value of x in log x + log3 = log18 is 6

6 0
3 years ago
Read 2 more answers
Rewrite 118 as a fraction in lowest terms.
Gnom [1K]
Last choice 1 9/50

118/100 =

(2 × 59)/(22 × 52) =

((2 × 59) ÷ 2) / ((22 × 52) ÷ 2) =

59/(2 × 52) =

59/50

Then

59 ÷ 50 = 1 and remainder = 9 =>

59 = 1 × 50 + 9 =>

59/50 =

(1 × 50 + 9) / 50 =

1 + 9/50 =

1 9/50
3 0
3 years ago
How do I do it? Acellus exam help
Mnenie [13.5K]

Answer:

30

Step-by-step explanation:

triangle ABC is proportional to triangle BCD so

hypothenuse of ABC/ ajdacent of ABC = hypotrnus BCD/ ajdacent of BCD

in short

AC/BC = BC/DC

10/x = x/3

10 . 3 = x²

x² = 30

x = √30

so the question mark is 30

4 0
2 years ago
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