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Dmitrij [34]
3 years ago
8

A bicycle is on sale at $12 more than half of the regular price. If the sale price is $75, find the regular price.

Mathematics
1 answer:
konstantin123 [22]3 years ago
6 0
So 12 more than half the regular price.
let's let p be the original price.

\frac{1}{2} p + 12 = 75
right?
Now you just have to solve from there.
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A geometric sequence is defined by the general term tn = 75(5n), where n ∈N and n ≥ 1. What is the recursive formula of the sequ
andreyandreev [35.5K]
The correct answer is C) t₁ = 375, t_n=5t_{n-1}.

From the general form,
t_n=75(5)^n, we must work backward to find t₁.

The general form is derived from the explicit form, which is
t_n=t_1(r)^{n-1}.  We can see that r = 5; 5 has the exponent, so that is what is multiplied by every time. This gives us

t_n=t_1(5)^{n-1}

Using the products of exponents, we can "split up" the exponent:
t_n=t_1(5)^n(5)^{-1}

We know that 5⁻¹ = 1/5, so this gives us
t_n=t_1(\frac{1}{5})(5)^n
\\
\\=\frac{t_1}{5}(5)^n

Comparing this to our general form, we see that
\frac{t_1}{5}=75

Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375

The recursive formula for a geometric sequence is given by
t_n=t_{n-1}(r), while we must state what t₁ is; this gives us

t_1=375; t_n=t_{n-1}(5)

3 0
3 years ago
I need some help with math
Valentin [98]

Answer:

PT, VP

Step-by-step explanation:

if p is the center and T V and W are on the circle

the radius goes from the center of the circle to the edge of the circle

then PW PT and PW are radii of the circle


6 0
3 years ago
What is the answer for 7-2(8/2)+9
photoshop1234 [79]
7-2( \frac{8}{2} )+9 =

Remove parentheses:

7-2* \frac{8}{2} +9 =

7 - 2 * 4 + 9 =

7 - 8 + 9 =

= -1 + 9

= 8

hope this helps!



6 0
3 years ago
Find the value of 151 - 4(32 - 2).<br> -11<br> -33<br> 7<br> -23
egoroff_w [7]

Steps to solve:

151 - 4(32 - 2)

~Distribute

151 - 128 - 8

~Subtract

23 - 8

15

Best of Luck!

3 0
3 years ago
A car rental company has two rental rates. rate 1 is $64 per day pluus $.16 per mile. rate 2 is $128 per day plus $.08 per mile.
kvv77 [185]
D is days
m is miles

0.16m + 64d (this is rate 1)
0.08m + 128d ( this is rate 2)

since you plan to rent for one day, input d as 1.

0.16m + 64(1)
0.08m + 128(1)

i hope i gave you enough hints
7 0
3 years ago
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