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vekshin1
3 years ago
14

Help on number 7 please

Mathematics
2 answers:
WARRIOR [948]3 years ago
6 0

Answer:

Meh

Step-by-step explanation:

vazorg [7]3 years ago
6 0

Answer:

1/2

Step-by-step explanation:

\frac{3}{8} * 72 + x = 63\\

x = 36

\frac{36}{72}  = \frac{1}{2}

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A total of $4000 is invested: part at 8% and the remainder at 14%. How much is invested at each rate if the annual interest is $
skelet666 [1.2K]

Answer:

$2000 is invested at 8%

$2000 is invested at 14%

Step-by-step explanation:

A total of $4000 is invested part at 8% and the remainder at 14%

Annual interest is $440.

Simple interest formula;

I = P × R × T

Where I is the interest, P is the principal, R is the rate and T is the time.

P = $4000

R = 8% and 14%

T = 1 year

I = $440

Let's say $a is invested at 8% and;

$b is invested at 14%

Then,

($a × \frac{8}{100} × 1 ) + ($b × \frac{14}{100} × 1) = $440

and

$a + $b = $4000

This forms a simultaneous equation;

0.08a + 0.14b = 440 ... (i)

a + b = 4000 ... (ii)

Multiplying (i) by 1 and (ii) by 0.08  we get;

0.08a + 0.14b = 440 ... (i)

0.08a + 0.08b = 320 ... (ii)

Subtracting (i) - (ii) we get;

0 + 0.06b = 120

0.06b = 120

b = 120 ÷ 0.06 = 2000

So amount invested at 14% ($b) = $2000 and,

The amount invested at 8% ($a) = $4000 - $2000 = $2000

7 0
3 years ago
Last question Can anybody help
ludmilkaskok [199]

Answer:

-8/15

Step-by-step explanation:

6 0
3 years ago
Find the midpoint of the line segment from (1,-1) to (2,4)
Helga [31]

Answer: (1.5, 1.5)

Step-by-step explanation:

7 0
3 years ago
A triangle has two sides of length 17 and 2. What is the largest possible whole number length
ludmilkaskok [199]

Answer:

The largest possible value for the third side is  18.

Step-by-step explanation:

Here, the first side of the triangle  = 17

Second side of the triangle  = 2

Let us assume the third side of the triangle  = m

Now, In any given triangle:

"Sum of any two sides of a triangle is strictly greater than the third side."

⇒ Sum of first side  +  Sum of second side   > Third Side

   or,     m < 17 + 2

   or,     m  <  19

hence, the largest possible value for m = 18

6 0
3 years ago
The number of days that homes stay on the market before they sell in Houston is bell-shaped with a mean equal to 56 days. Furthe
antoniya [11.8K]

Answer:

D. 8

Step-by-step explanation:

We have been given that the number of days that homes stay on the market before they sell in Houston is bell-shaped with a mean equal to 56 days. Further, 95 percent of all homes are on the market between 40 and 72 days.

As per empirical rule 95% of the data on bell curve lies between 2 standard deviations of mean.

So we can set an equation as:

72-56=2\sigma or

40-56=-2\sigma

16=2\sigma

\frac{16}{2}=\frac{2\sigma}{2}

8=\sigma

40-56=-2\sigma

-16=-2\sigma

\frac{-16}{-2}=\frac{-2\sigma}{-2}

8=\sigma

Therefore, the standard deviation for our given data is 8 and option D is the correct choice.

6 0
3 years ago
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