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xeze [42]
4 years ago
5

A person invests 9500 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how

long must the person leave the money in the bank until it reaches 12600 dollars?
Mathematics
1 answer:
sweet [91]4 years ago
6 0

Answer:

4.9 years

Step-by-step explanation:

Future value is the sum of amount invested and its compounded interest for a specific period of time and on a specific interest rate.

Investment = Present value = $9,500

Future value = $12,600

To find the numbers of years we will use following formula

Future value = Present value x ( 1 + r )^n

r = interest rate = 5.75%

n = number of periods = ?

Placing values in the formula

$12,600 = $9,500 x ( 1 + 5.75%/4 )^n

$12,600 / $9,500 = 1.014375^n

1.3263 = 1.014375^n

Log 1.3263 = n log 1.014375

n = Log 1.3263 / log 1.014375

n = 19.7856 Quarters

n = 4.9 years

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Find two consecutive odd integers such that 53 more than the lesser is four times the greater
viva [34]
Let x and x+2 the 2 odd consecutive numbers. Now translate from English language to Math's:
x+53 = 4(x + 2), Expand :
x+53 = 4x + 8
53 - 8 = 4x - x

45 = 3x   and x = 15. So the 1st is 15 and the 2nd is 17

4 0
4 years ago
A survey was conducted to measure the height of men. In the survey, respondents were grouped by age. In the 20-29 group the grou
kotykmax [81]

Answer:

(a) The probability that his height is less than 66 inches is 0.2743.

(b) The probability that the height is between 66 and 71 inches is 0.4679.

(c) The probability that the height is more than 71 inches is 0.2578.

Step-by-step explanation:

The data given in the question is:

Mean (μ) = 68.4

Standard Deviation (σ) = 4

Let X denote the height of men. We will use the normal distribution z-score formula to calculate the z-score and then look up the probability in the normal probability distribution table. The z-score formula is:

z = (X - μ)/σ

(a) For P(X<66), first calculate the z value.

z = (66-68.4)/4

z = -0.6 (Look up this value in the standard normal distribution table)

P(z<-0.6) = 0.2743

The probability that his height is less than 66 inches is 0.2743.

(b) P(66<X<71)  = P(X<71) - P(X<66)

We need to find P(X<71) so, calculating the z-value:

z = (71-68.4)/4

z = 0.65

P(z<0.65) = 0.7422

P(66<X<71)  = 0.7422 - 0.2743

P(66<X<71)  = 0.4679

The probability that the height is between 66 and 71 inches is 0.4679.

(c) To find the probability P(X>71), we need to find P(X<71) and then subtract it from 1 because the normal distribution table gives values for P(X<k). We have already calculated the value of P(X<71) in part (b) so,

P(X>71) = 1 - P(X<71)

            = 1 - 0.7422

P(X>71) = 0.2578

The probability that the height is more than 71 inches is 0.2578.

3 0
3 years ago
3 PARTS FOR 40 PIONTS AND BRIANLY, TYSM IF YOU ANSWER WITH LOVE AND CARE.
pshichka [43]

The domain of the function is [0.70, 2.55]

  • The range is [1.04, 2.56]
  • The domain is the set of x values and the range is the set of y values

<h3>How to determine the domain of the function?</h3>

From the question, we have the following parameters that can be used in our computation:

(0.70)(1.04)(1.15)(1.38)(1.86)(1.70)(2.55)(1.29)(2.22)(2.56)

When represented as a table, we have:

x            y

0.70    1.04

1.15      1.38

1.86     1.70

2.55     1.29

2.22    2.56

Remove the y values

So, we have

x = {0.70, 1.15, 1.86, 2.55, 2.22}

As an interval notation, we have: [0.70, 2.55]

This set of values is the domain

<h3>How to determine the range of the function?</h3>

In (a), we have the following table of values

x            y

0.70    1.04

1.15      1.38

1.86     1.70

2.55     1.29

2.22    2.56

Remove the x values

So, we have

y = {1.04, 1.38, 1.70, 1.29, 2.56}

As an interval notation, we have: [1.04, 2.56]

This set of values is the range

<h3>How the domain and the range are calculated</h3>

To determine the domain, we make use of the x values

While the y values are used to represent the range

Read more about domain and range at

brainly.com/question/2264373

#SPJ1

6 0
2 years ago
Solve for y: a=(1/2)(4y+a)
Anni [7]

Answer:

Multiply a by 2, then subtract by a, then divide by 4

Step-by-step explanation:

a=(1/2)(4y+a)

2a = 4y + a

a = 4y

y = 4

4 0
4 years ago
Need quick help pleaseee
oksano4ka [1.4K]

Answer:

1080°

Step-by-step explanation:

(n - 2) x 180

n = number of sides = 8

(8 - 2) × 180 = 1080°

4 0
2 years ago
Read 2 more answers
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