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3 years ago

Yesterday tram charged $70 to babysit for 5 hours

Mathematics

1 answer:

slega [8]3 years ago

3 0

Answer:

And?

Step-by-step explanation:

We need more context

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Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Savatey [412]

we have that

$300 + 150 + 75 +...$

Let

$a1=300\\ a2=150\\ a3=75$

we know that

$\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50$

$\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50$

$a(n+1)=an*0.50$

Is a geometric sequence

Find the value of $a4$

$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

Find $S5$

$S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25$

therefore

the answer is

$581.25$

Alternative Method

Applying the formula

$S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25$

therefore

the answer is

$581.25$

6 0

3 years ago

Read 2 more answers

Earth travels around the sun at a speed of about 30 kilometers per second. Convert this speed to kilometers per minute.

Verizon [17]

Answer:

1800

Step-by-step explanation:

there are 60 seconds in a minute

so, 30 * 60 = 1800

8 0

3 years ago

Determine x in the following equation 2x - 4 = 10

kari74 [83]

Answer:

Step-by-step explanation:

10+4 = 14

14/2 = 7

x = 7

7 0

3 years ago

Which expressions represent the difference of exactly two expressions?

evablogger [386]

Answer:

1, 3, 4

Step-by-step explanation:

Among these answer choices, you're looking for two expressions separated by a minus sign. Choice 2 is only one expression, so does not meet the required criterion.

1. 6(x+7)-2

3. 4f-2g

4. 3xyz-10

7 0

3 years ago

2(x-3)=3/4(8x-12)<br> step by step please

Umnica [9.8K]

Answer:

$x = \frac{3}{4}$