Here's an image that might help you
100,000 + 200 + 3 = Expanded form of 100,203
Answer:
The amount of money after 12 years is $19581.99 to the nearest cents
Step-by-step explanation:
The formula of the compound continuously interest is V = P
, where
- V is the value of the account in t years
- P is the principal initially invested
- e is the base of a natural logarithm
- r is the rate of interest in decimal
∵ A person places $7320 in an investment account
∴ P = 7320
∵ The account earning an annual rate of 8.2%, compounded continuously
∴ r = 8.2% ⇒ divide it by 100 to change it to decimal
∴ r = 8.2 ÷ 100 = 0.082
∵ The time is 12 years
∴ t = 12
→ Substitute these values in the formula above to find V
∵ V = 7320
∴ V = 19581.99121 dollars
→ Round it to the nearest cents ⇒ 2 d.p
∴ V = 19581.99 dollars
∴ The amount of money after 12 years is $19581.99 to the nearest cents.
This is the concept of application of trigonometry;
The height of the tree will be given by:
tan theta=opposite/adjacent
theta=65
opposite=h
adjacent= 10
thus;
tan 65=h/10
h=10 tan 65
h=21.45 m
The distance between the dog and the man is x;
the distance of the man to the tree is (x+10) m
this will be given by:
tan 50= 21.45/(10+x)
getting the reciprocal of the expression we get;
1/tan 50=(10+x)/21.45
cross multiplying the above expression we get;
21.45=(10+x)tan 50
21.45=(10+x)1.2
21.45=12+1.2x
1.2x=21.45-12
1.2x=9.45
x=9.45/1.2
x=7.875
We conclude that the distance of the Firefighter and the dog is x=7.875 m
Answer:
32470
Step-by-step explanation:
4; 32; 160; 798; 2706; 716
28;128;638;1908;4458
100;510;1270;2550
410;760;1280
350;520
170
7th: 170+520+1280+2550+4458+7164=16142
4; 32; 160; 798; 2706; 7164;16142
28;128;638;1908;4458;8978
100;510;1270;2550;4520
410;760;1280;1970
350;520;690
170;170
8th: 170+690+1970+4520+8978+16142=32470