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3 years ago

Find the slope of the line passing through the points (-3,-8) and (5,6)

Mathematics

2 answers:

Mkey [24]3 years ago

7 0

Slope is the change in Y over the change in X:

Slope = (6 - -8) / (5 - -3)

Slope = (6+8) / (5+3)

Slope = 14/8

Slope = 7/4

NISA [10]3 years ago

6 0

Answer:

7/6

Step-by-step explanation:

Use the Formula: y2-y1/x2-x1 = 6-(-8)/5-(-3) = 6+8/5+3 = 14/8 = 7/6

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For the following amount at the given interest rate compounded continuously, find (a) the future value after 9 years, (b) the

Stella [2.4K]

Answer:

(a) The future value after 9 years is $7142.49.

(b) The effective rate is $r_E=4.759 \:{\%}$ .

(c) The time to reach $13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of $P$ dollars is invested at a rate of interest $r$ compounded continuously for $t$ years, the compound amount is

$A=Pe^{rt}$

(a) From the information given

$P=4700$

$r=4.65\%=\frac{4.65}{100} =0.0465$

$t=9 \:years$

Applying the above formula we get that

$A=4700e^{0.0465\cdot 9}\\A=7142.49$

The future value after 9 years is $7142.49.

(b) The effective rate is given by

$r_E=e^r-1$

Therefore,

$r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}$

(c) To find the time to reach $13,000, we must solve the equation

$13000=4700e^{0.0465\cdot t}$

$4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88$

3 0

2 years ago

The radius of a square is 16 cm what is the area

sdas [7]

Radius is normally used for a circle
in a circle, radius is the distance form the center of the circle to the outer edge of the circle
area=legnth times width or in square area=legnth times legneth
since this is a square and this is a math problem, we will assume that radius=1/2legnth so
if radius=16 then legnth =2 times 16=32
area=32 times 32=1042

area=1042 square cm or 1042 cm^2

6 0

3 years ago

Read 2 more answers

carlos and Jacob each improve their yards by planting daylilies and ivy. They bought their supplies from the same stores. Carlos

34kurt

Answer:

Cost of each daylilies = $3

Cost of each ivy pot = $3

Step-by-step explanation:

Given:

Cost of 4 daylilies and 4 ivy = $24

Cost of 4 daylilies and 8 ivy = $36

Find:

Cost of each daylilies

Cost of each ivy pot

Computation:

Assume;

Cost of each daylilies = a

Cost of each ivy pot = b

So,

4a + 4b = 24....... eq 1

4a + 8b = 36 ....... eq 2

Eq2 - Eq1

8b - 4b = 36 - 24

4b = 12

b = 3

So,

Cost of each ivy pot = $3

4a + 4b = 24

4a + 4(3) = 24

4a + 12

a = 3

Cost of each daylilies = $3

6 0

2 years ago

Find the value of x (multiple choice)

nekit [7.7K]

Answer:

D.) 6

Step-by-step explanation:

-3+2*6=9

6 0

2 years ago

Y = 5x^2 - 10 what is the rate of change ? is the function linear or non linear ? why ?

Svetlanka [38]

Answer:

Step-by-step explanation:

Are you in Calculus? These are calculus concepts!

To calculate the rate of change here you must specify an interval, e. g., "what is the rate of change on the interval (0, 3)?"

If you know calculus: The 'rate of change' on the interval (a, b) is

f(b) - f(a)

r. of c. = --------------------

b - a

Have you used this formula before?

Because of the 'x^2' term this is NOT a linear function.

If you want more explanation, provide an interval on which you want the average rate of change and ask specific questions of your own.

6 0

2 years ago