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3 years ago

12

Ruddy has x dollars in his account. He spends $34.56 to buy medicines for his grandmother. If the balance in his account is $265

.34, what was the amount in his account before purchase?

1 answer:

wel3 years ago

8 0

Answer:

$299.90

Step-by-step explanation:

Add the $34.56 back to the $265.34

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THIS QUESTION DOESNT MAKE ANY SENSE TO ME SO IF YOU KNOW OR COULD HELP PLEASE DO

Ira Lisetskai [31]

Answer:

The funnel will fill the container in about 10 times

Step-by-step explanation:

To solve this question, the principal thing to do is to calculate the volumes of the cone-shaped funnel and the cylinder to actually know the number of times we will need to fill the funnel so as to fill the cylinder,

These number of times can simply be calculated by dividing the volume of the cylinder by the volume of the cone-shaped funnel.

Mathematically, we proceed as follows;

Volume of the cone funnel = 1/3 ×π× $r^{2}$ × h, where r and h represents the radius and height of the cone respectively.

From the question D = 6 inches, and mathematically r = D/2 = 6/2 = 3 inches and h = 7 inches

Plugging the values we have in the question, the volume = 1/3 ×π× $3^{2}$ ×7 = 21π $inches^{3}$

For the cylindrical receptacle, we have the volume calculated as π× $r^{2}$ × h

Where r = 4 inches and h = 13 inches.

Plugging these values we have ; π × $4^{2}$ × 13 = 208π $inches^{3}$

Now the number of times is simply = volume of cylindrical container/volume of cone-shaped funnel

= 208π/21π = 208/21 = 9.9 which is approximately 10 times

7 0

3 years ago

$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years

forsale [732]

Answer:

$\$13,107.96$

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

$\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}$

8 0

3 years ago

The city is planning to add a fishpond to a neighborhood park the figure below is a scale drawing of the fishpond it's scale is

notsponge [240]

I saw the figure of the fishpond. It composed of a rectangle and a circle. The circle is cut into two and each half is attached to the width of the rectangle making an oblong shaped fishpond.

Length of the rectangle: 2.5 inch
Width of the rectangle and diameter of the circle: 1 inch

1/2 inch equals 15 feet.

2.5 inches = 75 feet
1 inch = 30 feet

Area of a rectangle = 75 ft * 30 ft = 2,250 ft²
Area of a circle = 3.14 * (15ft)² = 3.14 * 225ft² = 706.50 ft²

Total Area = 2,250 ft² + 706.50 ft² = 2,956.50 ft²

5 0

4 years ago

)Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the

konstantin123 [22]

Answer:

$a=\sqrt{7}$

$\text{tan}(A)=\frac{\sqrt{7}}{3}$

Step-by-step explanation:

Please find the attachment.

We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.

To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.

$a^2+b^2=c^2$

Upon substituting our given values in Pythagoras theorem, we will get:

$a^2+3^2=4^2$

$a^2+9=16$

$a^2+9-9=16-9$

$a^2=7$

Take square root of both sides:

$a=\sqrt{7}$

Therefore, the length of side 'a' is $\sqrt{7}$ units.

We know that tangent relates opposite side of a right triangle with adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

We can see that 'a' is opposite side of angle A and 'b' is adjacent side.

$\text{tan}(A)=\frac{a}{b}$

$\text{tan}(A)=\frac{\sqrt{7}}{3}$

Therefore, the value of tan(A) is $\frac{\sqrt{7}}{3}$ .

3 0

3 years ago

Name the property being used 2+(3+7)=(2+3)+7

aleksklad [387]

Answer: Associative property

Explanation: The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product. Example: 5 × 4 × 2 5 \times 4 \times 2 5×4×2.

7 0

3 years ago

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