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3 years ago

9

Jeff deposited $6000 into a savings account for which interest is compounded quarterly at a rate of 3.3%. How much interest will

he earn after 77 years? *

1 answer:

sattari [20]3 years ago

7 0

Answer:

140,000

Step-by-step explanation:

You might be interested in

A minigolf ball is on a perfectly horizontal surface, x = 2 m away from the center of the hole. There is a small obstacle in the

nika2105 [10]

<h3>Answer:</h3><h3>Two possible smallest and largest angles are 11.78° and 78.22°.</h3>

Step-by-step explanation:

Minigolf ball will follow a trajectory to get into the hole.

Since range of a trajectory is calculated by the formula,

$R=\frac{u^{2}sin2\theta}{g}$

Where u = initial speed of the ball

θ = angle between the hole and direction in which the ball has been projected

g = gravitational pull

Now we plug in the values in the formula,

$2=\frac{7^{2}sin(2\theta)}{9.8}$

sin2θ = $\frac{2\times 9.8}{49}$

2θ = $sin^{-1}(0.4)$

2θ = 23.57° or 156.43°

θ = 11.78° or 78.22°

Hence two possible smallest and largest angles are 11.78° and 78.22°.

6 0

3 years ago

Translate the point (5,2)—> 3 units to the left

VladimirAG [237]

Given:

The point (5,-2) is translated 3 units to the left.

To find:

The new location of the point.

Solution:

If a point is translated 3 units to the left, then

$(x,y)\to (x-3,y)$

Using this rule of translation, we get

$(5,-2)\to (5-3,-2)$

$(5,-2)\to (2,-2)$

Therefore, the new location of the point is (2,-2). Hence, the correct option is C.

7 0

2 years ago

Walk fifty meters at 30o north or east from the old oak tree. (2) Turn 45o to your left (you should now be facing 75o north of e

saw5 [17]

Answer:

A straight line of approximately 75 meters, 1.4º north

Step-by-step explanation:

Hi, let's make it step by step to make it clearer

1) If we walk 50 meters in 30º angle Northeast, assuming the Old Oak tree is the point 0,0 and we're dealing with vectors in $R^{2}$ . To say 30º Northeast is 30º clockwise (or 60º counter clockwise).

2) Then there was a the turning point to the left. If I turn to the left, on my compass 45º , I'll face 75º northeast.

3) Finally, the last vector leads to the treasure from the Old Oak Tree, i.e. the resultant.

So, let's calculate the norm which is the length of the each vector.

1) Graphing them we can find the points, then the components and then calculate the norm, the length of each vector.

Since the Oak Tree is on (0,0). The turning point (50,86.61) and the Rock (R=(1.4,74,85) we can write the following vectors:

$\vec{u}=\left \langle 50,86.61 \right \rangle\\\vec{v}=\left \langle -48.6,-11.76\right \rangle\\\vec{w}=\left \langle 1.4,74.85 \right \rangle$

Now, let's calculate each vector length by calculating the norm.

$\left \| \vec{u} \right \|=\sqrt{50^{2}+86.6^2}=100\\\left \| \vec{v} \right \|=\sqrt{(-48.6)^2+(-11.76)^2}=50\\\left \| \vec{u} \right \|=\sqrt{(1.4)^2+(74.85)^2}=74.86$

The path is almost 75 meters. And since it is less than 15º degrees to the left of the North (or to the right) its direction is still north of the Old Oak Tree.

8 0

3 years ago

Answer plz plz for brainleiest

Archy [21]

Answer:

-.5

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Please help me out if possible!

oksano4ka [1.4K]

Answer:

<h2><u>111°</u></h2>

Step-by-step explanation:

Hi,

So lets answer this question;

Here we know that:

69° + z = 180° [Straight angle or Supplementary angle]

⇒ z = 180° - 69°

= <u>111°</u>

3 0

3 years ago