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3 years ago

Solve the exponential equation. (logs) 3(1.05)^x+1=6

1 answer:

8 0

$\bf 3(1.05)^x+1=6\implies 3(1.05)^x=5\implies (1.05)^x=\cfrac{5}{3}\\\\
-----------------------------\\\\
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\qquad thus\\\\
-----------------------------\\\\
log\left[ (1.05)^x \right]=log\left( \cfrac{5}{3} \right)\implies xlog\left[ (1.05) \right]=log\left( \cfrac{5}{3} \right)
\\\\\\
x=\cfrac{log\left( \frac{5}{3} \right)}{log(1.05)}$

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David is standing on the deck of his treehouse which is 60 feet high in the tree and looking down at a 59degree angle. In the di

lidiya [134]

Answer:

22 degrees.

Step-by-step explanation:

Please find the attachment.

We have been given that a man is in a tree-house 10 feet above the ground. He is looking at the top of another tree that is 22 feet tall.The bases of the trees are 30 feet apart.

To find the angle of elevation from the man's feet to the top of the tree, we will use tangent because we know adjacent side and opposite side to angle x.

Now, we will use arctan or inverse tan to solve for x as:

Upon rounding to nearest degree, we will get:

Therefore, the angle of elevation from the man's feet to the top of the tree is approximately 22 degrees.

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3 years ago

Information on Kwon Manufacturing’s activities for its first month of operations follows: Purchased $101,700 of raw materials on

REY [17]

1. The cost sheets for Job 201 and Job 202 are as follows:

Job 201 Job 202 Total

Direct materials $49,900 $25,300 $75,200

Direct labor 40,900 14,300 55,200

Overhead applied 39,920 20,240 60,160

Total costs $130,720 $59,840 $190,560

2. Gross profit for the sale of Job 201 = $38,140 ($168,860 - $130,720)

Data and Calculations:

Cost of raw materials purchased = $101,700

Job 201 Job 202 Total

Direct materials $49,900 $25,300 $75,200

Direct labor 40,900 14,300 55,200

Overhead applied 39,920 20,240 60,160

Total costs $130,720 $59,840 $190,560

Sales $168,860

Gross profit $38,140

Thus, the cost of Job 201 sold is $130,720 with a gross profit of $38,140.

Learn more: brainly.com/question/24516871

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3 years ago

What would 10/7 look like on a number like

Elanso [62]

Answer:

It would look as if it's close to 1 1/2 but not quite.

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3 years ago

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3(2n-9)

Step-by-step explanation:

used distributive property

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3 years ago

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The formula to determine energy is uppercase E = one-half m v squared. What is the formula solved for v?

alexandr402 [8]

Answer:

Step-by-step explanation:

$E=\frac{1}{2}mv^2$

All the variables on the right are being multiplied together then the whole mess is being divided by 2. Let's get rid of the 2 first. The undoing of division is multiplication, so we will begin by multiplying both sides by 2 to get

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The undoing of a square is to take the square root, so we will do that to both sides giving us, finally

$\sqrt{\frac{2E}{m} }=v$

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4 years ago

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