All categories

4 years ago

What is what is 4x-2>12?

Mathematics

2 answers:

WITCHER [35]4 years ago

6 0

4x - 2 > 12
4x > 10
X > 5/2

Paladinen [302]4 years ago

5 0

4x - 2 > 12
4x > 14
x > 14/4
x > 3.5

You might be interested in

Use the following information for problems 1 – 3. Suppose you sign a contract for an annual salary of $50,000 with a guaranteed

erik [133]

Initial salary = $50,000 .

Rate of raise = 5% each year.

Therefore, each next year salary would be 105% that is 1.05 times.

5% of 50,000 = 0.05 × 50000 = 2500.

Therefore raise is $2500 each year.

According to geometric sequence first term 50000 and common ratio 1.05.

Applying geometric sequence formula

$a_n = ar^{n-1}$

1) $a_n = 50000(1.05)^{n-1}$

2) In order to find salary in 5 years we need to plug n=5, we get

$a_5 = 50000(1.05)^{5-1}= 50000(1.05)^4$

= 50000(1.21550625)

3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

$S_n = \frac{a(1-r^n}{1-r}$

Plugging n=10, a = 50000 and r= 1.05.

$S_10 = \frac{50000(1-(1.05)^{10}}{1-1.05}$

$S_10 = \frac{50000(0.050)^{10}}{0.05}$

= 628894.62678.

<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>

7 0

3 years ago

Given trapezoid WXYZ, what is XY?

elena55 [62]

Applying the trapezium midsegment theorem, the length of XY is: 30.

<h3>What is the Trapezium Midsegment Theorem?</h3>

Trapezium midsegment theorem states that the length of the median that joins two sides of a trapezium equals half the sum of he two bases of the trapezium.

Thus:

Let XY = x

Therefore:

WZ = 4/3(x)

DE = 35 (given)

Thus:

35 = 1/2(4/3x + x)

2(35) = 7x/3

70 = 7x/3

3(70) = 7x

210 = 7x

x = 30

x = XY = 30

Therefore, applying the trapezium midsegment theorem, the length of XY is: 30.

Learn more about trapezium midsegment theorem on:

brainly.com/question/4451516

6 0

2 years ago

Find the area of this figure

tankabanditka [31]

Answer:

it should be 2,744. i believe

Step-by-step explanation:

4 0

3 years ago

One day at a supermarket, 258 fruits were sold in the morning, and 5/6 of the number of fruits sold in the morning were sold in

astra-53 [7]

Answer:

258 fruits.

Step-by-step explanation:

We have been given that one day at a supermarket, 258 fruits were sold in the morning, and 5/6 of the number of fruits sold in the morning were sold in the afternoon.

So the fruits sold in the afternoon will be 5/6 of 258.

$\text{The number of fruits sold in afternoon}=\frac{5}{6}\times 258$

$\text{The number of fruits sold in afternoon}=5\times 43$

$\text{The number of fruits sold in afternoon}=215$ .

Further, we are told that the number of fruits sold in the next afternoon increased by 20% compared to the number of fruits sold in the afternoon the previous day.

So the number of fruits sold in the next afternoon will be:

$\text{The number of fruits sold in next afternoon}=215+(\frac{20}{100}\times 215)$