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WITCHER [35]
3 years ago
9

If Earth's radius is 3,954 miles, to the nearest mile, how many miles north of city K is city H along arc HK?

Mathematics
1 answer:
worty [1.4K]3 years ago
8 0
626. tangent because adjacent and hypotenuse are given. tan= o/a
tan(9)= .1584
o/.1584 = 3954/1
cross multiply.
o= .1584 * 3954
o= 626
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c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e
castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

A=Pe^{rt}, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A=  $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428

Taking natural log on both the sides , we get

15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%

Hence, the annual interest rate = 13.29%

6 0
3 years ago
What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}? please help
neonofarm [45]
Since this is a linear function, filling in the minimum and maximum of the domain is sufficient.

f(-4) = -16 + 9 = -7
f(2)= 8 + 9 = 17

So the range of the function (given the domain) :
R = {-7, 17}
8 0
3 years ago
If you roll a fair 10-sided die 7 times, what is the probability that the die lands on "10" exactly 2 times?
nexus9112 [7]

Answer: 2:7 times

Step-by-step explanation: hope it helps u

7 0
2 years ago
The table shows the number of students in a school who like rap and/or hip-hop: Like Rap Do Not Like Rap Total Like Hip-Hop 35 8
Brums [2.3K]

Answer:

35 like rap 25 dont like rap

Step-by-step explanation:

7 0
2 years ago
If f(x)=4x-6 and g(x) =2x find f(x) •g(x)
slavikrds [6]
This is same as (4x-6)(2x), so you can distribute 2x into 4x-6 and you would get
(2x)4x - (2x)6 = 8x² - 12x

Final answer: 8x² - 12x

Hope this helps.
5 0
3 years ago
Read 2 more answers
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