Answer:
Step-by-step explanation:
4y - 16 + 68 = 180
4y + 52 = 180
4y = 128
y = 32
2x - 24 = 68
2x = 92
x = 46
Answer:
the last option, 10,12,15
Step-by-step explanation:
for every 3 of something you have 5 of something else, so the ratio is 3:5. That means when you have 6, double the amount of 3, you have the double amount of 5, 10.
Answer:
c = 2 * 3.14 * r and c = 3.14 * d
Step-by-step explanation:
The formulas for the circumference of a circle are
c = 2πr and c = πd
where r is the radius and d is the diameter
using π = 3.14
the formulas become
c = 2 * 3.14 * r and c = 3.14 * d
Answer:
(-1,5) and 
are points on the graph
Step-by-step explanation:
Given
Required
Determine which point in on the graph
To get which of point A to D is on the graph, we have to plug in their values in the given expression using the format; (x,g(x))
A. (-1,5)
x = -1
Substitute -1 for x in
Convert to index form
Change / to *
This satisfies (-1,5)
<em>Hence, (-1,5) is on the graph</em>
<em></em>
B. (1,0)
x = 1
Substitute 1 for x
<em>(1,0) is not on the graph because g(x) is not equal to 0</em>
C.
x = 3
Substitute 3 for x
Apply law of indices
This satisfies
<em>Hence, </em><em> is on the graph</em>
<em></em>
D. 
x = -2
Substitute -2 for x
Convert to index form
Change / to *
This does not satisfy
<em>Hence, </em> <em> is not on the graph</em>
C. 16.4
Step-by-step explanation:
The formula to apply here is;
A=P(1+r/n) ^nt where
A=final amount
P=starting amount
r=rate of interest annually
n=number of compounding per year
t=time in years
Given ; P=$500, A=$750 , r=2.5%=0.025 , t=?,n=1
Substitute values;
A=P(1+r/n)^nt
$750=$500(1+0.025)^t
750=500(1.025)^t
750/500=(1.025)^t
1.5=(1.025)^t
log 1.5 =t log (1.025)
log 1.5/log 1.025 = t
16.4 =t
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Compound interest formula :brainly.com/question/12148233
Keywords : bank account, interest per year, value of account, years
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