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Ratling [72]
3 years ago
9

At the end of the summer, Caitlin had saved $120 from her summer job. This was her initial deposit into a new savings account at

the bank. As the school year starts, Caitlin is going to deposit another $5 each week from her allowance. Is her account balance proportional to the number of weeks of deposits? Use the table below. (I would show you one, but I don't know how) Explain your reasoning.
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0
<span>Let x = represent the number of weeks of deposits
A = 120 + 5x the account balance after x weeks
The account balance is directly proportional to the number of weeks of deposits if:
A/x = constant
(120 + 5x)/x = 120/x + 5 is not a constant
For example:
After 1 week there will be: 120 + 1*5 = $125 on the account
After 2 week there will be: 120 + 2*5 = $130 on the account
After 3 week there will be: 120 + 3*5 = $135 on the account
But 125/1 <> 130/2 <> 135/3
The account balance is not proportional to the number of weeks of deposits.</span>
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Suppose f is an exponential function and:
Nastasia [14]

Answer:  a) b= p(1 + r)^1 b) c= p(1 + r)^n c) d= p(1 + r)^m d) b^n=c

Step-by-step explanation:

Since f is an exponential function.

So, it is expressed as

f = p(1 + r)^

Here f is the present value

p is the initial value

r is the rate of growth per time period

t is the time period.

(a) b represents the 1-unit growth factor for f.

b= p(1 + r)^1

(b) c represents the n n-unit growth factor for f.

c= p(1 + r)^n

(c) d represents the m m-unit growth factor for f.

d= p(1 + r)^m

Write a formula that expresses c in terms of b.

Since

b=p(1+r)^1\\\\So,\\\\b=p(1+r)^{n\times \frac{1}{n}}\\\\b=(p(1+r)^n)^{\frac{1}{n}}\\\\b=c^{\frac{1}{n}}\\\\b^n=c

Hence, a) b= p(1 + r)^1 b) c= p(1 + r)^n c) d= p(1 + r)^m d) b^n=c

8 0
3 years ago
1. 16y + 0 = 16y
Norma-Jean [14]
1) Identity Property of addition
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4) Commutative property of addition
Hope this helps!
7 0
3 years ago
Solve the inequality.<br><br> 5/6t - 3≥3t + 6
Papessa [141]

Answer:

t ≤ -\frac{54}{13}

Step-by-step explanation:

\frac{5}{6}t−3−3t≥3t+6−3t

-\frac{13}{6}t−3≥6

-\frac{13}{6}t−3+3≥6+3

\frac{13}{6}t≥9

-\frac{6}{13}(-\frac{13}{6}t) ≥ -\frac{6}{13}(9)

t ≤ -\frac{54}{13}

6 0
2 years ago
The area of triangle ABC is _____.
Marizza181 [45]
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 
SEE ATTACHED IMAGE.
 
Using Heron's Formula we can find the area of the triangle.
 A = root (s (s-a) * (s-b) * (s-c))
 s = (a + b + c) / 2
 Where,
 s: semi-perimeter
 a, b, c: sides of the triangle
 Substituting values:
 s = (15 + 16 + 20) / 2
 s = 25.5
 s = 26
 The area will be:
 A = root (26 * (26-15) * (26-16) * (26-20))
 A = 130.9961832
 A = 130 u ^ 2
 Answer:
 
The area of triangle ABC is:
 
C.
 
130 u ^ 2

5 0
3 years ago
Help me i dont know what i am doing at all
nika2105 [10]
You are doing the distributive property.
68.5j+76.54
7 0
3 years ago
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