Question in pic!!!!!!

Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo

LekaFEV [45]

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds $b$ , and the amount invested in CD $d$ , then we have:

$b+d=50,000$ this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds $b$ is $5,000 more than twice the amount Daniela put into the CD, we have:

$b=5,000+2d$ .

Thus, we have two equations and two unknowns $b$ and $d$ :

(1). $b+d=50,000$

(2). $b=5,000+2d$ ,

and we solve this system by substituting $b$ from the second equation into the first:

$b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}$

or, the amount invested in CD is $15,000.

With the value of $d$ in hand, we now solve for $b$ from equation(2):

$b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}$

or, the amount invested in bonds is $35,000.

4 0

3 years ago

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In a neighborhood 60% of the houses have a garage and a fenced in backyard. Given that 80% of the houses in the neighborhood hav

Tpy6a [65]

The correct answer will be 75 for anyone wondering

8 0

3 years ago

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Compute and compare the side lengths of the two figures. Does this support an argument claiming that they are congruent? What el

Sunny_sXe [5.5K]

We compute for the side lengths using the distance formula √[(x₂-x₁)²+(y₂-y₁)²].

AB = √[(-7--5)²+(4-7)²] = √13
A'B' = √[(-9--7)²+(0-3)²] = √13

BC = √[(-5--3)²+(7-4)²] = √13
B'C' = √[(-7--5)²+(3-0)²] =√13

CD = √[(-3--5)²+(4-1)²] = √13
C'D' = √[(-5--7)²+(0--3)²] = √13

DA = √[(-5--7)²+(1-4)²] = √13
D'A' = √[(-7--9)²+(-3-0)²] = √13

The two polygons are squares with the same side lengths.

But this is not enough information to support the argument that the two figures are congruent. In order for the two to be congruent, they must satisfy all conditions:
1. They have the same number of sides.
2. All the corresponding sides have equal length.
3. All the corresponding interior angles have the same measurements.

The third condition was not proven.

6 0

3 years ago

Read 2 more answers

(02.0

Anestetic [448]

Answer:

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Step-by-step explanation:hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjjjjjjjjjjjhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

3 0

3 years ago

To make a specific orange color, a painter uses 14 of a can of red paint and 12 of a can of yellow paint. Fill in each statement

Otrada [13]

Answer: For every 1 can of red paint, the number of yellow paints used by the painter is $\frac{6}{7}$ and

There are approximately 29 cans of yellow paints for 34 cans of red paints.

Step-by-step explanation:

Since we have given that

Number of cans of red paint = 14

Number of cans of yellow paint = 12

According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;

Since the ratio of red paint to yellow paint is given by

$14:12\\\\7:6\\\\1:\frac{6}{7}$

So, for every 1 can of red paint, the number of yellow paints used by the painter is $\frac{6}{7}$

Similarly,

If Number of can of red paint is used = 34

So, Number of cans of yellow paint will be

$\frac{6}{7}\times 34\\\\=\frac{6\times 34}{7}\\\\=29\ approx.$

Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.

3 0

3 years ago

Question in pic!!!!!!​

Question in pic!!!!!!