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3 years ago

[(3 x 3) - (30 = 6)] + (-27) - 13

Mathematics

1 answer:

Neporo4naja [7]3 years ago

8 0

Answer:

-36

Step-by-step explanation:

$[(3\times 3)-(30\div6)]+(-27)-13= \\\\$

$[9-5]-27-13= \\\\$

$4-40= \\\\$

$-36$

Hope this helps!

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Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea

Varvara68 [4.7K]

Answer: $56,900\left( 0.919\right)^x$

Step-by-step explanation:

Given

Marcos purchased a sailboat for $\$56,900$

Each year the boat will decrease in value by $8.1\%$

After 1 year it is

$\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\$

after another year it becomes

$\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2$

After $x$ years it is

$\Rightarrow 56,900\left( 1-0.081\right)^x$

$\Rightarrow 56,900\left( 0.919\right)^x$

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2 years ago

The quotient of 18 and a number a

irina [24]

Answer:

18÷n or 18a

Step-by-step explanation:

8 0

2 years ago

Zara has forgotten her 4-digit PIN code.

djverab [1.8K]

800 different sets of digits

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits

4 0

2 years ago

Read 2 more answers

Dollar is worth three and 3 1/2 kruneros. What is the value of 43 3/4 kruneros?

Korvikt [17]

Question:

One dollar is worth 3 1/2 kruneros. What is the value of 43 3/4 kruneros?

Answer:

The value of $43\frac{3}{4}$ kruneros is 12.5 dollars

Solution:

Given that,

Dollar is worth three and 3 1/2 kruneros

Which means,

$1 \text{ dollar } = 3\frac{1}{2} \text{ kruneros }\\\\1 \text{ dollar } = 3.5 \text{ kruneros }$

We have to find the value of $43\frac{3}{4}$ kruneros

Let us convert the mixed fractions to improper fractions

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

$43\frac{3}{4} = \frac{43 \times 4 + 3}{4} = \frac{175}{4} = 43.75$

So we have to find the value of 43.75 kruneros

Let "x" be the value of 43.75 kruneros

Then,

1 dollar = 3.5 kruneros

x dollar = 43.75 kruneros

This forms a proportion and we can solve the sum by cross multiply

$1 \times 43.75 = x \times 3.5\\\\x = \frac{43.75}{3.5}\\\\x = 12.5$

Thus value of $43\frac{3}{4}$ kruneros is 12.5 dollars

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2 years ago

In the diagram, SR = and QR = . What is the perimeter of parallelogram PQRS?

gogolik [260]

Since the figure is a parallelogram, then SP=RQ, and SR=PQ.

To find SR, we draw right triangle SAR, as shown in the picture, where the coordinates of A are clearly (-3, -2).

Thus, we can see that SA=4 units, and AR=4 units. By the Pythagorean theorem,
$SR= \sqrt{4^2+4^2}= \sqrt{2\cdot4^2}=4 \sqrt{2}.$

Similarly, to find SP, which is equal to QR, we draw the triangle PBS, where the coordinates of B are (-2, 2).

Clearly, PB=3 and SB=1, thus using the Pythagorean theorem in right triangle PBS:

$SP= \sqrt{1^2+3^2}= \sqrt{10}$ units.

The perimeter of the parallelogram is SP+RQ+SR+PQ=

$\sqrt{10} +\sqrt{10} +4 \sqrt{2}+4 \sqrt{2}=2\sqrt{10} +8 \sqrt{2}$ .

Answer: second choice

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3 years ago