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3 years ago

How long would it take to have $1335.60 in interest if principal is $5300 and interest rate is 7%

1 answer:

5 0

(5300 + 1335.6) = 5300(1 + 0.07)^n where n is the number of years required

6635.6 = 5300(1.07)^n
(1.07)^n = 1.252
n log 1.07 = log 1.252

n = log 1.252 / log 1.07 = 3.32 years Answer

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A woman is randomly selected from the 18-24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally

dybincka [34]

Answer:

0.0274

Step-by-step explanation:

The mean is $\mu =114.8$ and the standard deviation is $\sigma =13.1.$

Calculate

$Z=\dfrac{X-\mu}{\sigma}$

for $X=140:$

$Z=\dfrac{140-114.8}{13.1}\approx 1.9237.$

If $X\sim N(114.8,\ 13.1),$ then $Z\sim N(0,1)$

and

$Pr(X>140)=Pr(Z>1.9237).$

Use table for normal distribution probabilities to get that

$Pr(Z>1.9237)=1-Pr(Z\le 1.9237)=1-0.9726=0.0274.$

7 0

3 years ago

Read 2 more answers

Triangle X Y Z is shown. Angle X Y Z is 51 degrees and angle Y Z X is 76 degrees. The length of X Z is 2.6, the length of X Y is

Novay_Z [31]

Answer:

3.2 units

Step-by-step explanation:

Use the law of sines

z/sin 76 = 2.6/sin 51

z = 2.6 sin 76/sin 51 = 3.2

4 0

2 years ago

Factor each of the following. Remember: It is the reverse of the distributive property and your first step is to find the greate

vaieri [72.5K]

To factor using the reverse of the distributive property, find what common factor the numbers have and what common factor the variables have.

10.

-8x - 16

8 is a factor of both -8 and 16.
The first term has x, but the second term does not, so there is no common variable. The only common factor is 8, or -8.

Factor out a -8:

-8x - 16 = -8(x + 2)

To see if the factorization is correct, multiply the answer using the distributive property. If you get the original expression, then the factorization is correct.

11.

w^2 - 4w

The first term only has a factor of 1. The second term has a 4. There is no common factor between 1 and 4 except for 1, so there is no number you can factor out. The first term has w^2. The second term has w. Both terms have a common factor of w. We can factor out w from both terms.

w^2 - 4w = w(w - 4)

12.

4s + 10rs

4 and 10 have a common factor of 2.
s and rs have a common factor of s.
2 times s is 2s, so the common factor is 2s.
We now factor out 2s

4s + 10rs = 2s(2 + 5r)

5 0

3 years ago

At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult ti

kondaur [170]

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

6 0

2 years ago

Read 2 more answers

A-4/5 = 12 what is a and show the work

topjm [15]

Solving $a-\frac{4}{5}=12$ we get $a=\frac{64}{5}$

Step-by-step explanation:

We need to find the value of a. We are given:

$a-\frac{4}{5}=12$

Solving:

$a-\frac{4}{5}=12\\Add\,\,\frac{4}{5}\,\,on\,\,both\,\,sides:\\a-\frac{4}{5}+\frac{4}{5}=12+\frac{4}{5}\\a=12+\frac{4}{5}\\Taking\,\,LCM:\\a=\frac{12*5+4}{5}\\a=\frac{60+4}{5}\\a=\frac{64}{5}$

So, Solving $a-\frac{4}{5}=12$ we get $a=\frac{64}{5}$

Keywords: Solving Expressions

Learn more about Solving Expressions at:

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4 0

3 years ago