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murzikaleks [220]
3 years ago
6

Which of the following equations represents the sequence 17,14,11,9... ?​

Mathematics
1 answer:
postnew [5]3 years ago
3 0

Answer:

Subtract 3

Step-by-step explanation:

Each time the following number decreases by 3

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The height of the Empire State building is 1250 feet tall. Your friend ,who is 6 feet 3 inches tall, is standing nearby and cast
IgorLugansk [536]
75 inches / 33 inches : 1,250 / shadow

75 * shadow = 33 * 1,250

shadow = 41,250 / 75

shadow = 550 feet


8 0
3 years ago
If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​? If the co
Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has ​$1600​.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

P(t) = P(0)e^{rt}

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​?

We have to find t for which A(t) = 1600 when P = 1000, r = 0.07, n = 2

A(t) = P(1 + \frac{r}{n})^{nt}

1600 = 1000(1 + \frac{0.07}{2})^{2t}

(1.035)^{2t} = \frac{1600}{1000}

(1.035)^{2t} = 1.6

\log{1.035)^{2t}} = \log{1.6}

2t\log{1.035} = \log{1.6}

t = \frac{\log{1.6}}{2\log{1.035}}

t = 6.83

Using continuous interest 6.83 years before she has ​$1600​

If the compounding is​ continuous, how long will it​ be?

We have that P(0) = 1000, r = 0.07

Then

P(t) = P(0)e^{rt}

1600 = 1000e^{0.07t}

e^{0.07t} = 1.6

\ln{e^{0.07t}} = \ln{1.6}

0.07t = \ln{1.6}

t = \frac{\ln{1.6}}{0.07}

t = 6.71

Using continuous compounding, 6.71 years.

7 0
3 years ago
The length of a rectangle is 5 inches more than twice a number.The width is 4 inches less than the same number.If the area of th
umka2103 [35]

Answer:

n = 5, n = -7/2

Step-by-step explanation:

2n + 5 = l

n - 4 = w

A = l × w = 15

(2n + 5)(n-4) = 15

2n^2 - 8n + 5n - 20 = 15

2n^2 -3n - 35 = 0

(2n + 7)(n - 5) = 0

2n + 7 = 0      or       n - 5 = 0

n = -7/2          or       n = 5

6 0
2 years ago
Find x <br> (4x - 3) – ( x + 5) = 3(10 - x)<br> please.....
Marina CMI [18]

Answer:

x=14/3

Step-by-step explanation:

4x-3-x+5=30-3x

3x+2=30-3x

3x+3x=30-2

6x=28

x=28/6=14/3

x=14/3

<em>Hope this helps</em>

<em>please mark me as brainliest.</em>

3 0
3 years ago
Read 2 more answers
The diameter of a circle is 14 inches, Eind the circumference and area. Use<br> Find<br> 22 for it.
snow_lady [41]

Answer:

Step-by-step explanation:

If diameter is 14 inches radius = d/2 = 14/2 = 7 inches

Circumference = 2 pi R = 2 × 22/7 × 7

= 44 inches

Area = pi R square = 22/7 × (7)^2

=22/7 × 49

= 154 inches

Hope this helps

7 0
3 years ago
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