Answer:
D. 191
Step-by-step explanation:
To calculate this you need to imagine triangle which points are:
boat
Top of lighthouse
Bottom of lighthouse
That triangle has 90 degrees angle at bottom of lighthouse. That means that we can use trigonometry to determine length between boat and bottom of lighthouse
tan(25) = 89/x
x = 89/tan(25)
x = 190.86
after rounding, your final answer would be 191 feet.
Hi there! In order to find the simple interest rate of the bonds, we have to divide the received payment by the bonds invested in them. 504/8,000 is 0.063. This number is in decimal form, but let's multiply by 100 to get the percentage of the number. 0.063 * 100 is 6.3. There. The simple interest rate of the bonds is 6.3%.
There are three terms! i hope this helps!
Answer:
-4
explanation:
since there is subtraction sign in front of the negative 2 it would change into a positive 2.
-6 + 2 = -4
The present age of Cesar is 38 years old
<em><u>Solution:</u></em>
Let the present age of Cesar be "a"
Let the present age of Hillary be "b"
<em><u>Cesar is 5 years older than Hillary</u></em>
Present age of Cesar = 5 + present age of Hillary
a = 5 + b ------ eqn 1
<em><u>In 9 years the sum of their ages will be 89</u></em>
Age of cesar after 9 years = a + 9
Age of hillary after 9 years = b + 9
Sum of their ages is 89
Therefore,
a + 9 + b + 9 = 89
a + b = 89 - 18
a + b = 71 -------- eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
5 + b + b = 71
5 + 2b = 71
2b = 66
b = 33
<em><u>Substitute b = 33 in eqn 1</u></em>
a = 5 + 33 = 38
Thus present age of Cesar is 38 years old