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IRINA_888 [86]
2 years ago
6

((Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Mathematics
1 answer:
defon2 years ago
8 0

Answer:

C

Step-by-step explanation:

The first term = 1500

2nd term = 900

3rd term = 540

The series is a GP.

r = 900/1500 = 0.6

The sum of the first 10 term, S₁₀, is as calculated below.

Sn = a(1-rⁿ)/(1-r)

S₁₀ = 1500(1 - 0.6¹⁰)/(1 - 0.6)

      = 1500 × 0.9939/0.4

       = 3,727.125 m

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Maria invests $6,154 in a savings account with a fixed interest rate of 8% compounded continuously. What will the account balanc
Vitek1552 [10]

Answer:

$13,695.98

Step-by-step explanation:

We can use the continuous compound interest formula to solve:

A = Pe^{rt}

<em>P = principal amount</em>

<em>r = interest rate (decimal)</em>

<em>t = time (years)</em>

<em />

First, lets change 8% into a decimal:

8% -> \frac{8}{100} -> 0.08

Now, lets plug in the values:

A=6,154e^{0.08(10)}

A=13,695.98

The account balance after 10 years will be $13,695.98

3 0
3 years ago
Suppose KLMN ~ PQRS. Find the value of x.
arlik [135]

Complete question is attached.

Answer:

B) 8

Step-by-step explanation:

In this question, KLMN ~ PQRS. This means they are similar shapes.

From the image, we could denote that:

KL ~ PQ

LM ~ QR

Given that:

KL = 12

PQ = 30

QR = 20

LM = x

To find x, let's use tge expression:

\frac{KL}{PQ} = \frac{LM}{QR}

=  \frac{12}{30} = \frac{x}{20}

Cross multiplying, we have:

12 * 20 = 30x

240 = 30x

To find x, let's divide both sides by 30.

\frac{240}{30} = \frac{30x}{30}

8 = x

x = 8

The correct option is option B.

3 0
3 years ago
Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at hour 0. Which system of linear equat
Goshia [24]

Answer:

Miguel: d = 23t + 10

Gabby: d = 28t

Step-by-step explanation:

We can write the equation for each case in slope-intercept form, d = mt + b

Where,

d = total distance

t = time

m (rate) = distance/hr

b = initial value

✔️ Miguel:

m = 23 km/hr

b = 10 mile

Equation: subtitle the values into d = mt + b

d = 23t + 10

✔️ Gabby:

m = 28 km/hr

b = 0 mile

Equation: subtitle the values into d = mt + b

d = 28t + 0

d = 28t

4 0
2 years ago
Points D, E, and F are on circle C and EF ≅ DF. What is the measure of ∠CDF?
antiseptic1488 [7]
The answer is 

26 degrees 

I just did the test hope this helps :)
6 0
3 years ago
Read 2 more answers
Can someone please help explain 3/24 = 33/?
sweet [91]

Answer:

264

Step-by-step explanation:

because 33 is 11 times 3 so you multiply the 24x11 equal 264

33/264

8 0
2 years ago
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